Finding the Fourth Proportional to 10,536.38, 14,538.92 and 5,820.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.38 : 14,538.92 = 5,820.69 : x
2. Step 2: Convert to fraction form
   10,536.38/14,538.92 = 5,820.69/x
3. Step 3: Cross multiply
   10,536.38x = 14,538.92 × 5,820.69
4. Step 4: Simplify right side
   10,536.38x = 84,626,517.15
5. Step 5: Solve for x
   x = 84,626,517.15/10,536.38
6. Step 6: Final answer
   x = 8,031.84