Finding the Fourth Proportional to 10,549.60, 14,557.83 and 5,833.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,549.60 : 14,557.83 = 5,833.78 : x
2. Step 2: Convert to fraction form
   10,549.60/14,557.83 = 5,833.78/x
3. Step 3: Cross multiply
   10,549.60x = 14,557.83 × 5,833.78
4. Step 4: Simplify right side
   10,549.60x = 84,927,177.50
5. Step 5: Solve for x
   x = 84,927,177.50/10,549.60
6. Step 6: Final answer
   x = 8,050.27