Finding the Fourth Proportional to 2,505.29, 3,758.55 and 861.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.29 : 3,758.55 = 861.86 : x
2. Step 2: Convert to fraction form
   2,505.29/3,758.55 = 861.86/x
3. Step 3: Cross multiply
   2,505.29x = 3,758.55 × 861.86
4. Step 4: Simplify right side
   2,505.29x = 3,239,343.90
5. Step 5: Solve for x
   x = 3,239,343.90/2,505.29
6. Step 6: Final answer
   x = 1,293.00