Finding the Fourth Proportional to 10,116.19, 13,960.35 and 5,639.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.19 : 13,960.35 = 5,639.85 : x
2. Step 2: Convert to fraction form
   10,116.19/13,960.35 = 5,639.85/x
3. Step 3: Cross multiply
   10,116.19x = 13,960.35 × 5,639.85
4. Step 4: Simplify right side
   10,116.19x = 78,734,181.95
5. Step 5: Solve for x
   x = 78,734,181.95/10,116.19
6. Step 6: Final answer
   x = 7,782.99