Finding the Fourth Proportional to 9,185.56, 12,678.93 and 5,408.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185.56 : 12,678.93 = 5,408.42 : x
2. Step 2: Convert to fraction form
   9,185.56/12,678.93 = 5,408.42/x
3. Step 3: Cross multiply
   9,185.56x = 12,678.93 × 5,408.42
4. Step 4: Simplify right side
   9,185.56x = 68,572,978.59
5. Step 5: Solve for x
   x = 68,572,978.59/9,185.56
6. Step 6: Final answer
   x = 7,465.31