Finding the Fourth Proportional to 1,064.74, 1,469.32 and 598.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.74 : 1,469.32 = 598.98 : x
2. Step 2: Convert to fraction form
   1,064.74/1,469.32 = 598.98/x
3. Step 3: Cross multiply
   1,064.74x = 1,469.32 × 598.98
4. Step 4: Simplify right side
   1,064.74x = 880,093.29
5. Step 5: Solve for x
   x = 880,093.29/1,064.74
6. Step 6: Final answer
   x = 826.58