Finding the Fourth Proportional to 10,610.50, 14,642.50 and 5,895.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.50 : 14,642.50 = 5,895.22 : x
2. Step 2: Convert to fraction form
   10,610.50/14,642.50 = 5,895.22/x
3. Step 3: Cross multiply
   10,610.50x = 14,642.50 × 5,895.22
4. Step 4: Simplify right side
   10,610.50x = 86,320,758.85
5. Step 5: Solve for x
   x = 86,320,758.85/10,610.50
6. Step 6: Final answer
   x = 8,135.41