Finding the Fourth Proportional to 10,024.50, 13,833.61 and 5,548.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.50 : 13,833.61 = 5,548.25 : x
2. Step 2: Convert to fraction form
   10,024.50/13,833.61 = 5,548.25/x
3. Step 3: Cross multiply
   10,024.50x = 13,833.61 × 5,548.25
4. Step 4: Simplify right side
   10,024.50x = 76,752,326.68
5. Step 5: Solve for x
   x = 76,752,326.68/10,024.50
6. Step 6: Final answer
   x = 7,656.47