Finding the Fourth Proportional to 9,112.64, 12,577.49 and 5,967

Step by Step Solution

1. Step 1: Write the proportion equation
   9,112.64 : 12,577.49 = 5,967 : x
2. Step 2: Convert to fraction form
   9,112.64/12,577.49 = 5,967/x
3. Step 3: Cross multiply
   9,112.64x = 12,577.49 × 5,967
4. Step 4: Simplify right side
   9,112.64x = 75,049,882.83
5. Step 5: Solve for x
   x = 75,049,882.83/9,112.64
6. Step 6: Final answer
   x = 8,235.80