Finding the Fourth Proportional to 10,540.27, 14,545.74 and 5,824.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.27 : 14,545.74 = 5,824.59 : x
2. Step 2: Convert to fraction form
   10,540.27/14,545.74 = 5,824.59/x
3. Step 3: Cross multiply
   10,540.27x = 14,545.74 × 5,824.59
4. Step 4: Simplify right side
   10,540.27x = 84,722,971.75
5. Step 5: Solve for x
   x = 84,722,971.75/10,540.27
6. Step 6: Final answer
   x = 8,038.03