Finding the Fourth Proportional to 1,035.62, 1,429.12 and 593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,035.62 : 1,429.12 = 593.50 : x
2. Step 2: Convert to fraction form
   1,035.62/1,429.12 = 593.50/x
3. Step 3: Cross multiply
   1,035.62x = 1,429.12 × 593.50
4. Step 4: Simplify right side
   1,035.62x = 848,182.72
5. Step 5: Solve for x
   x = 848,182.72/1,035.62
6. Step 6: Final answer
   x = 819.01