Finding the Fourth Proportional to 10,117.59, 13,961.82 and 5,641.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.59 : 13,961.82 = 5,641.42 : x
2. Step 2: Convert to fraction form
   10,117.59/13,961.82 = 5,641.42/x
3. Step 3: Cross multiply
   10,117.59x = 13,961.82 × 5,641.42
4. Step 4: Simplify right side
   10,117.59x = 78,764,490.58
5. Step 5: Solve for x
   x = 78,764,490.58/10,117.59
6. Step 6: Final answer
   x = 7,784.91