Finding the Fourth Proportional to 10,254.02, 14,150.54 and 5,538.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.02 : 14,150.54 = 5,538.29 : x
2. Step 2: Convert to fraction form
   10,254.02/14,150.54 = 5,538.29/x
3. Step 3: Cross multiply
   10,254.02x = 14,150.54 × 5,538.29
4. Step 4: Simplify right side
   10,254.02x = 78,369,801.86
5. Step 5: Solve for x
   x = 78,369,801.86/10,254.02
6. Step 6: Final answer
   x = 7,642.84