Finding the Fourth Proportional to 2,505.24, 3,757.70 and 861.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.24 : 3,757.70 = 861.82 : x
2. Step 2: Convert to fraction form
   2,505.24/3,757.70 = 861.82/x
3. Step 3: Cross multiply
   2,505.24x = 3,757.70 × 861.82
4. Step 4: Simplify right side
   2,505.24x = 3,238,453.77
5. Step 5: Solve for x
   x = 3,238,453.77/2,505.24
6. Step 6: Final answer
   x = 1,292.67