Finding the Fourth Proportional to 10,358.83, 14,295.17 and 5,643.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.83 : 14,295.17 = 5,643.14 : x
2. Step 2: Convert to fraction form
   10,358.83/14,295.17 = 5,643.14/x
3. Step 3: Cross multiply
   10,358.83x = 14,295.17 × 5,643.14
4. Step 4: Simplify right side
   10,358.83x = 80,669,695.48
5. Step 5: Solve for x
   x = 80,669,695.48/10,358.83
6. Step 6: Final answer
   x = 7,787.53