Finding the Fourth Proportional to 1,565.34, 2,160.42 and 902.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.34 : 2,160.42 = 902.06 : x
2. Step 2: Convert to fraction form
   1,565.34/2,160.42 = 902.06/x
3. Step 3: Cross multiply
   1,565.34x = 2,160.42 × 902.06
4. Step 4: Simplify right side
   1,565.34x = 1,948,828.47
5. Step 5: Solve for x
   x = 1,948,828.47/1,565.34
6. Step 6: Final answer
   x = 1,244.99