Finding the Fourth Proportional to 419,111.82, 578,386.69 and 296,822.98

Step by Step Solution

1. Step 1: Write the proportion equation
   419,111.82 : 578,386.69 = 296,822.98 : x
2. Step 2: Convert to fraction form
   419,111.82/578,386.69 = 296,822.98/x
3. Step 3: Cross multiply
   419,111.82x = 578,386.69 × 296,822.98
4. Step 4: Simplify right side
   419,111.82x = 171,678,460,899.06
5. Step 5: Solve for x
   x = 171,678,460,899.06/419,111.82
6. Step 6: Final answer
   x = 409,624.48