Finding the Fourth Proportional to 10,354.29, 14,288.94 and 5,638.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.29 : 14,288.94 = 5,638.56 : x
2. Step 2: Convert to fraction form
   10,354.29/14,288.94 = 5,638.56/x
3. Step 3: Cross multiply
   10,354.29x = 14,288.94 × 5,638.56
4. Step 4: Simplify right side
   10,354.29x = 80,569,045.53
5. Step 5: Solve for x
   x = 80,569,045.53/10,354.29
6. Step 6: Final answer
   x = 7,781.22