Finding the Fourth Proportional to 10,540.96, 14,547.44 and 5,826.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.96 : 14,547.44 = 5,826.15 : x
2. Step 2: Convert to fraction form
   10,540.96/14,547.44 = 5,826.15/x
3. Step 3: Cross multiply
   10,540.96x = 14,547.44 × 5,826.15
4. Step 4: Simplify right side
   10,540.96x = 84,755,538.43
5. Step 5: Solve for x
   x = 84,755,538.43/10,540.96
6. Step 6: Final answer
   x = 8,040.59