Finding the Fourth Proportional to 9,185.16, 12,675.78 and 5,408.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.16 : 12,675.78 = 5,408.58 : x
2. Step 2: Convert to fraction form
   9,185.16/12,675.78 = 5,408.58/x
3. Step 3: Cross multiply
   9,185.16x = 12,675.78 × 5,408.58
4. Step 4: Simplify right side
   9,185.16x = 68,557,970.19
5. Step 5: Solve for x
   x = 68,557,970.19/9,185.16
6. Step 6: Final answer
   x = 7,463.99