Finding the Fourth Proportional to 1,162.50, 1,604.25 and 638.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.50 : 1,604.25 = 638.52 : x
2. Step 2: Convert to fraction form
   1,162.50/1,604.25 = 638.52/x
3. Step 3: Cross multiply
   1,162.50x = 1,604.25 × 638.52
4. Step 4: Simplify right side
   1,162.50x = 1,024,345.71
5. Step 5: Solve for x
   x = 1,024,345.71/1,162.50
6. Step 6: Final answer
   x = 881.16