Finding the Fourth Proportional to 10,117.55, 13,961.20 and 5,640.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.55 : 13,961.20 = 5,640.89 : x
2. Step 2: Convert to fraction form
   10,117.55/13,961.20 = 5,640.89/x
3. Step 3: Cross multiply
   10,117.55x = 13,961.20 × 5,640.89
4. Step 4: Simplify right side
   10,117.55x = 78,753,509.56
5. Step 5: Solve for x
   x = 78,753,509.56/10,117.55
6. Step 6: Final answer
   x = 7,783.85