Finding the Fourth Proportional to 10,610.78, 14,642.82 and 5,895.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,610.78 : 14,642.82 = 5,895.09 : x
2. Step 2: Convert to fraction form
   10,610.78/14,642.82 = 5,895.09/x
3. Step 3: Cross multiply
   10,610.78x = 14,642.82 × 5,895.09
4. Step 4: Simplify right side
   10,610.78x = 86,320,741.75
5. Step 5: Solve for x
   x = 86,320,741.75/10,610.78
6. Step 6: Final answer
   x = 8,135.20