Finding the Fourth Proportional to 10,118.57, 13,963.81 and 5,581.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.57 : 13,963.81 = 5,581.77 : x
2. Step 2: Convert to fraction form
   10,118.57/13,963.81 = 5,581.77/x
3. Step 3: Cross multiply
   10,118.57x = 13,963.81 × 5,581.77
4. Step 4: Simplify right side
   10,118.57x = 77,942,747.83
5. Step 5: Solve for x
   x = 77,942,747.83/10,118.57
6. Step 6: Final answer
   x = 7,702.94