Finding the Fourth Proportional to 10,536.57, 14,540.46 and 5,820.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.57 : 14,540.46 = 5,820.84 : x
2. Step 2: Convert to fraction form
   10,536.57/14,540.46 = 5,820.84/x
3. Step 3: Cross multiply
   10,536.57x = 14,540.46 × 5,820.84
4. Step 4: Simplify right side
   10,536.57x = 84,637,691.19
5. Step 5: Solve for x
   x = 84,637,691.19/10,536.57
6. Step 6: Final answer
   x = 8,032.76