Finding the Fourth Proportional to 1,565.72, 2,160.50 and 902.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.72 : 2,160.50 = 902.52 : x
2. Step 2: Convert to fraction form
   1,565.72/2,160.50 = 902.52/x
3. Step 3: Cross multiply
   1,565.72x = 2,160.50 × 902.52
4. Step 4: Simplify right side
   1,565.72x = 1,949,894.46
5. Step 5: Solve for x
   x = 1,949,894.46/1,565.72
6. Step 6: Final answer
   x = 1,245.37