Finding the Fourth Proportional to 10,535.76, 14,539.72 and 5,820.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.76 : 14,539.72 = 5,820.40 : x
2. Step 2: Convert to fraction form
   10,535.76/14,539.72 = 5,820.40/x
3. Step 3: Cross multiply
   10,535.76x = 14,539.72 × 5,820.40
4. Step 4: Simplify right side
   10,535.76x = 84,626,986.29
5. Step 5: Solve for x
   x = 84,626,986.29/10,535.76
6. Step 6: Final answer
   x = 8,032.36