Finding the Fourth Proportional to 9,185.31, 12,678.59 and 5,408.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.31 : 12,678.59 = 5,408.17 : x
2. Step 2: Convert to fraction form
   9,185.31/12,678.59 = 5,408.17/x
3. Step 3: Cross multiply
   9,185.31x = 12,678.59 × 5,408.17
4. Step 4: Simplify right side
   9,185.31x = 68,567,943.04
5. Step 5: Solve for x
   x = 68,567,943.04/9,185.31
6. Step 6: Final answer
   x = 7,464.96