Finding the Fourth Proportional to 10,118.61, 13,963.84 and 5,581.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.61 : 13,963.84 = 5,581.27 : x
2. Step 2: Convert to fraction form
   10,118.61/13,963.84 = 5,581.27/x
3. Step 3: Cross multiply
   10,118.61x = 13,963.84 × 5,581.27
4. Step 4: Simplify right side
   10,118.61x = 77,936,025.63
5. Step 5: Solve for x
   x = 77,936,025.63/10,118.61
6. Step 6: Final answer
   x = 7,702.24