Finding the Fourth Proportional to 10,549.26, 14,557.91 and 5,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.26 : 14,557.91 = 5,833.50 : x
2. Step 2: Convert to fraction form
   10,549.26/14,557.91 = 5,833.50/x
3. Step 3: Cross multiply
   10,549.26x = 14,557.91 × 5,833.50
4. Step 4: Simplify right side
   10,549.26x = 84,923,538.82
5. Step 5: Solve for x
   x = 84,923,538.82/10,549.26
6. Step 6: Final answer
   x = 8,050.19