Finding the Fourth Proportional to 6,359.78, 9,533.86 and 2,461.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,359.78 : 9,533.86 = 2,461.25 : x
2. Step 2: Convert to fraction form
   6,359.78/9,533.86 = 2,461.25/x
3. Step 3: Cross multiply
   6,359.78x = 9,533.86 × 2,461.25
4. Step 4: Simplify right side
   6,359.78x = 23,465,159.10
5. Step 5: Solve for x
   x = 23,465,159.10/6,359.78
6. Step 6: Final answer
   x = 3,689.62