Finding the Fourth Proportional to 10,536.30, 14,538.86 and 5,820.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.30 : 14,538.86 = 5,820.30 : x
2. Step 2: Convert to fraction form
   10,536.30/14,538.86 = 5,820.30/x
3. Step 3: Cross multiply
   10,536.30x = 14,538.86 × 5,820.30
4. Step 4: Simplify right side
   10,536.30x = 84,620,526.86
5. Step 5: Solve for x
   x = 84,620,526.86/10,536.30
6. Step 6: Final answer
   x = 8,031.33