Finding the Fourth Proportional to 10,024.38, 13,833.50 and 5,548.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024.38 : 13,833.50 = 5,548.05 : x
2. Step 2: Convert to fraction form
   10,024.38/13,833.50 = 5,548.05/x
3. Step 3: Cross multiply
   10,024.38x = 13,833.50 × 5,548.05
4. Step 4: Simplify right side
   10,024.38x = 76,748,921.93
5. Step 5: Solve for x
   x = 76,748,921.93/10,024.38
6. Step 6: Final answer
   x = 7,656.23