Finding the Fourth Proportional to 10,541.60, 14,547.20 and 5,826.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.60 : 14,547.20 = 5,826.08 : x
2. Step 2: Convert to fraction form
   10,541.60/14,547.20 = 5,826.08/x
3. Step 3: Cross multiply
   10,541.60x = 14,547.20 × 5,826.08
4. Step 4: Simplify right side
   10,541.60x = 84,753,150.98
5. Step 5: Solve for x
   x = 84,753,150.98/10,541.60
6. Step 6: Final answer
   x = 8,039.88