Finding the Fourth Proportional to 10,117.47, 13,961.93 and 5,641.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.47 : 13,961.93 = 5,641.55 : x
2. Step 2: Convert to fraction form
   10,117.47/13,961.93 = 5,641.55/x
3. Step 3: Cross multiply
   10,117.47x = 13,961.93 × 5,641.55
4. Step 4: Simplify right side
   10,117.47x = 78,766,828.17
5. Step 5: Solve for x
   x = 78,766,828.17/10,117.47
6. Step 6: Final answer
   x = 7,785.23