Finding the Fourth Proportional to 9,184.10, 12,673.94 and 5,407.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,184.10 : 12,673.94 = 5,407.42 : x
2. Step 2: Convert to fraction form
   9,184.10/12,673.94 = 5,407.42/x
3. Step 3: Cross multiply
   9,184.10x = 12,673.94 × 5,407.42
4. Step 4: Simplify right side
   9,184.10x = 68,533,316.63
5. Step 5: Solve for x
   x = 68,533,316.63/9,184.10
6. Step 6: Final answer
   x = 7,462.17