Finding the Fourth Proportional to 1,199.30, 1,798.41 and 429.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.30 : 1,798.41 = 429.82 : x
2. Step 2: Convert to fraction form
   1,199.30/1,798.41 = 429.82/x
3. Step 3: Cross multiply
   1,199.30x = 1,798.41 × 429.82
4. Step 4: Simplify right side
   1,199.30x = 772,992.59
5. Step 5: Solve for x
   x = 772,992.59/1,199.30
6. Step 6: Final answer
   x = 644.54