Finding the Fourth Proportional to 2,505.92, 3,754.74 and 861.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.92 : 3,754.74 = 861.56 : x
2. Step 2: Convert to fraction form
   2,505.92/3,754.74 = 861.56/x
3. Step 3: Cross multiply
   2,505.92x = 3,754.74 × 861.56
4. Step 4: Simplify right side
   2,505.92x = 3,234,915.02
5. Step 5: Solve for x
   x = 3,234,915.02/2,505.92
6. Step 6: Final answer
   x = 1,290.91