Finding the Fourth Proportional to 10,116.59, 13,961.12 and 5,640.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116.59 : 13,961.12 = 5,640.21 : x
2. Step 2: Convert to fraction form
   10,116.59/13,961.12 = 5,640.21/x
3. Step 3: Cross multiply
   10,116.59x = 13,961.12 × 5,640.21
4. Step 4: Simplify right side
   10,116.59x = 78,743,620.43
5. Step 5: Solve for x
   x = 78,743,620.43/10,116.59
6. Step 6: Final answer
   x = 7,783.62