Finding the Fourth Proportional to 10,549.20, 14,557.86 and 5,833.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.20 : 14,557.86 = 5,833.38 : x
2. Step 2: Convert to fraction form
   10,549.20/14,557.86 = 5,833.38/x
3. Step 3: Cross multiply
   10,549.20x = 14,557.86 × 5,833.38
4. Step 4: Simplify right side
   10,549.20x = 84,921,529.37
5. Step 5: Solve for x
   x = 84,921,529.37/10,549.20
6. Step 6: Final answer
   x = 8,050.04