Finding the Fourth Proportional to 10,117.54, 13,960.62 and 5,641.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.54 : 13,960.62 = 5,641.30 : x
2. Step 2: Convert to fraction form
   10,117.54/13,960.62 = 5,641.30/x
3. Step 3: Cross multiply
   10,117.54x = 13,960.62 × 5,641.30
4. Step 4: Simplify right side
   10,117.54x = 78,756,045.61
5. Step 5: Solve for x
   x = 78,756,045.61/10,117.54
6. Step 6: Final answer
   x = 7,784.11