Finding the Fourth Proportional to 1,152.30, 1,727.42 and 502.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.30 : 1,727.42 = 502.52 : x
2. Step 2: Convert to fraction form
   1,152.30/1,727.42 = 502.52/x
3. Step 3: Cross multiply
   1,152.30x = 1,727.42 × 502.52
4. Step 4: Simplify right side
   1,152.30x = 868,063.10
5. Step 5: Solve for x
   x = 868,063.10/1,152.30
6. Step 6: Final answer
   x = 753.33