Finding the Fourth Proportional to 10,541.85, 14,547.62 and 5,826.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,541.85 : 14,547.62 = 5,826.03 : x
2. Step 2: Convert to fraction form
   10,541.85/14,547.62 = 5,826.03/x
3. Step 3: Cross multiply
   10,541.85x = 14,547.62 × 5,826.03
4. Step 4: Simplify right side
   10,541.85x = 84,754,870.55
5. Step 5: Solve for x
   x = 84,754,870.55/10,541.85
6. Step 6: Final answer
   x = 8,039.85