Finding the Fourth Proportional to 10,536.88, 14,540.90 and 5,756.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.88 : 14,540.90 = 5,756.86 : x
2. Step 2: Convert to fraction form
   10,536.88/14,540.90 = 5,756.86/x
3. Step 3: Cross multiply
   10,536.88x = 14,540.90 × 5,756.86
4. Step 4: Simplify right side
   10,536.88x = 83,709,925.57
5. Step 5: Solve for x
   x = 83,709,925.57/10,536.88
6. Step 6: Final answer
   x = 7,944.47