Finding the Fourth Proportional to 10,057.54, 13,880.06 and 5,581.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.54 : 13,880.06 = 5,581.30 : x
2. Step 2: Convert to fraction form
   10,057.54/13,880.06 = 5,581.30/x
3. Step 3: Cross multiply
   10,057.54x = 13,880.06 × 5,581.30
4. Step 4: Simplify right side
   10,057.54x = 77,468,750.97
5. Step 5: Solve for x
   x = 77,468,750.97/10,057.54
6. Step 6: Final answer
   x = 7,702.55