Finding the Fourth Proportional to 10,354.38, 14,289.12 and 5,638.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.38 : 14,289.12 = 5,638.74 : x
2. Step 2: Convert to fraction form
   10,354.38/14,289.12 = 5,638.74/x
3. Step 3: Cross multiply
   10,354.38x = 14,289.12 × 5,638.74
4. Step 4: Simplify right side
   10,354.38x = 80,572,632.51
5. Step 5: Solve for x
   x = 80,572,632.51/10,354.38
6. Step 6: Final answer
   x = 7,781.50