Finding the Fourth Proportional to 10,536.41, 14,540.55 and 5,820.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.41 : 14,540.55 = 5,820.59 : x
2. Step 2: Convert to fraction form
   10,536.41/14,540.55 = 5,820.59/x
3. Step 3: Cross multiply
   10,536.41x = 14,540.55 × 5,820.59
4. Step 4: Simplify right side
   10,536.41x = 84,634,579.92
5. Step 5: Solve for x
   x = 84,634,579.92/10,536.41
6. Step 6: Final answer
   x = 8,032.58