Finding the Fourth Proportional to 10,536.91, 14,540.55 and 5,756.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.91 : 14,540.55 = 5,756.87 : x
2. Step 2: Convert to fraction form
   10,536.91/14,540.55 = 5,756.87/x
3. Step 3: Cross multiply
   10,536.91x = 14,540.55 × 5,756.87
4. Step 4: Simplify right side
   10,536.91x = 83,708,056.08
5. Step 5: Solve for x
   x = 83,708,056.08/10,536.91
6. Step 6: Final answer
   x = 7,944.27