Finding the Fourth Proportional to 10,535.76, 14,539.34 and 5,820.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.76 : 14,539.34 = 5,820.02 : x
2. Step 2: Convert to fraction form
   10,535.76/14,539.34 = 5,820.02/x
3. Step 3: Cross multiply
   10,535.76x = 14,539.34 × 5,820.02
4. Step 4: Simplify right side
   10,535.76x = 84,619,249.59
5. Step 5: Solve for x
   x = 84,619,249.59/10,535.76
6. Step 6: Final answer
   x = 8,031.62