Finding the Fourth Proportional to 10,354.96, 14,290.02 and 5,639.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.96 : 14,290.02 = 5,639.32 : x
2. Step 2: Convert to fraction form
   10,354.96/14,290.02 = 5,639.32/x
3. Step 3: Cross multiply
   10,354.96x = 14,290.02 × 5,639.32
4. Step 4: Simplify right side
   10,354.96x = 80,585,995.59
5. Step 5: Solve for x
   x = 80,585,995.59/10,354.96
6. Step 6: Final answer
   x = 7,782.36