Finding the Fourth Proportional to 10,358.38, 14,294.91 and 5,643.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,358.38 : 14,294.91 = 5,643.10 : x
2. Step 2: Convert to fraction form
   10,358.38/14,294.91 = 5,643.10/x
3. Step 3: Cross multiply
   10,358.38x = 14,294.91 × 5,643.10
4. Step 4: Simplify right side
   10,358.38x = 80,667,606.62
5. Step 5: Solve for x
   x = 80,667,606.62/10,358.38
6. Step 6: Final answer
   x = 7,787.67