Finding the Fourth Proportional to 10,540.72, 14,546.14 and 5,825

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.72 : 14,546.14 = 5,825 : x
2. Step 2: Convert to fraction form
   10,540.72/14,546.14 = 5,825/x
3. Step 3: Cross multiply
   10,540.72x = 14,546.14 × 5,825
4. Step 4: Simplify right side
   10,540.72x = 84,731,265.50
5. Step 5: Solve for x
   x = 84,731,265.50/10,540.72
6. Step 6: Final answer
   x = 8,038.47