Finding the Fourth Proportional to 10,032.38, 13,829.91 and 7,638.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032.38 : 13,829.91 = 7,638.17 : x
2. Step 2: Convert to fraction form
   10,032.38/13,829.91 = 7,638.17/x
3. Step 3: Cross multiply
   10,032.38x = 13,829.91 × 7,638.17
4. Step 4: Simplify right side
   10,032.38x = 105,635,134.52
5. Step 5: Solve for x
   x = 105,635,134.52/10,032.38
6. Step 6: Final answer
   x = 10,529.42