Finding the Fourth Proportional to 1,022.13, 1,410.55 and 602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.13 : 1,410.55 = 602.50 : x
2. Step 2: Convert to fraction form
   1,022.13/1,410.55 = 602.50/x
3. Step 3: Cross multiply
   1,022.13x = 1,410.55 × 602.50
4. Step 4: Simplify right side
   1,022.13x = 849,856.38
5. Step 5: Solve for x
   x = 849,856.38/1,022.13
6. Step 6: Final answer
   x = 831.46