Finding the Fourth Proportional to 1,165.14, 1,606.56 and 869.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.14 : 1,606.56 = 869.91 : x
2. Step 2: Convert to fraction form
   1,165.14/1,606.56 = 869.91/x
3. Step 3: Cross multiply
   1,165.14x = 1,606.56 × 869.91
4. Step 4: Simplify right side
   1,165.14x = 1,397,562.61
5. Step 5: Solve for x
   x = 1,397,562.61/1,165.14
6. Step 6: Final answer
   x = 1,199.48