Finding the Fourth Proportional to 10,354.27, 14,288.91 and 5,638.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.27 : 14,288.91 = 5,638.57 : x
2. Step 2: Convert to fraction form
   10,354.27/14,288.91 = 5,638.57/x
3. Step 3: Cross multiply
   10,354.27x = 14,288.91 × 5,638.57
4. Step 4: Simplify right side
   10,354.27x = 80,569,019.26
5. Step 5: Solve for x
   x = 80,569,019.26/10,354.27
6. Step 6: Final answer
   x = 7,781.24