Finding the Fourth Proportional to 10,358.82, 14,295.15 and 5,643.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.82 : 14,295.15 = 5,643.09 : x
2. Step 2: Convert to fraction form
   10,358.82/14,295.15 = 5,643.09/x
3. Step 3: Cross multiply
   10,358.82x = 14,295.15 × 5,643.09
4. Step 4: Simplify right side
   10,358.82x = 80,668,818.01
5. Step 5: Solve for x
   x = 80,668,818.01/10,358.82
6. Step 6: Final answer
   x = 7,787.45