Finding the Fourth Proportional to 10,354.17, 14,288.87 and 5,638.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.17 : 14,288.87 = 5,638.41 : x
2. Step 2: Convert to fraction form
   10,354.17/14,288.87 = 5,638.41/x
3. Step 3: Cross multiply
   10,354.17x = 14,288.87 × 5,638.41
4. Step 4: Simplify right side
   10,354.17x = 80,566,479.30
5. Step 5: Solve for x
   x = 80,566,479.30/10,354.17
6. Step 6: Final answer
   x = 7,781.07