Finding the Fourth Proportional to 10,354.46, 14,289.15 and 5,638.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.46 : 14,289.15 = 5,638.74 : x
2. Step 2: Convert to fraction form
   10,354.46/14,289.15 = 5,638.74/x
3. Step 3: Cross multiply
   10,354.46x = 14,289.15 × 5,638.74
4. Step 4: Simplify right side
   10,354.46x = 80,572,801.67
5. Step 5: Solve for x
   x = 80,572,801.67/10,354.46
6. Step 6: Final answer
   x = 7,781.46