Finding the Fourth Proportional to 10,536.05, 14,540.10 and 5,756.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.05 : 14,540.10 = 5,756.46 : x
2. Step 2: Convert to fraction form
   10,536.05/14,540.10 = 5,756.46/x
3. Step 3: Cross multiply
   10,536.05x = 14,540.10 × 5,756.46
4. Step 4: Simplify right side
   10,536.05x = 83,699,402.56
5. Step 5: Solve for x
   x = 83,699,402.56/10,536.05
6. Step 6: Final answer
   x = 7,944.10