Finding the Fourth Proportional to 1,565.85, 2,160.89 and 902.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,565.85 : 2,160.89 = 902.69 : x
2. Step 2: Convert to fraction form
   1,565.85/2,160.89 = 902.69/x
3. Step 3: Cross multiply
   1,565.85x = 2,160.89 × 902.69
4. Step 4: Simplify right side
   1,565.85x = 1,950,598.48
5. Step 5: Solve for x
   x = 1,950,598.48/1,565.85
6. Step 6: Final answer
   x = 1,245.71