Finding the Fourth Proportional to 10,549.31, 14,557.63 and 5,833.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.31 : 14,557.63 = 5,833.59 : x
2. Step 2: Convert to fraction form
   10,549.31/14,557.63 = 5,833.59/x
3. Step 3: Cross multiply
   10,549.31x = 14,557.63 × 5,833.59
4. Step 4: Simplify right side
   10,549.31x = 84,923,244.79
5. Step 5: Solve for x
   x = 84,923,244.79/10,549.31
6. Step 6: Final answer
   x = 8,050.12