Finding the Fourth Proportional to 10,548.74, 14,557.20 and 5,833.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.74 : 14,557.20 = 5,833.10 : x
2. Step 2: Convert to fraction form
   10,548.74/14,557.20 = 5,833.10/x
3. Step 3: Cross multiply
   10,548.74x = 14,557.20 × 5,833.10
4. Step 4: Simplify right side
   10,548.74x = 84,913,603.32
5. Step 5: Solve for x
   x = 84,913,603.32/10,548.74
6. Step 6: Final answer
   x = 8,049.64