Finding the Fourth Proportional to 10,391.49, 14,339.83 and 5,854.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,391.49 : 14,339.83 = 5,854.06 : x
2. Step 2: Convert to fraction form
   10,391.49/14,339.83 = 5,854.06/x
3. Step 3: Cross multiply
   10,391.49x = 14,339.83 × 5,854.06
4. Step 4: Simplify right side
   10,391.49x = 83,946,225.21
5. Step 5: Solve for x
   x = 83,946,225.21/10,391.49
6. Step 6: Final answer
   x = 8,078.36