Finding the Fourth Proportional to 10,101.29, 13,940.54 and 5,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101.29 : 13,940.54 = 5,853.50 : x
2. Step 2: Convert to fraction form
   10,101.29/13,940.54 = 5,853.50/x
3. Step 3: Cross multiply
   10,101.29x = 13,940.54 × 5,853.50
4. Step 4: Simplify right side
   10,101.29x = 81,600,851.92
5. Step 5: Solve for x
   x = 81,600,851.92/10,101.29
6. Step 6: Final answer
   x = 8,078.26