Finding the Fourth Proportional to 9,182.89, 12,670.14 and 5,406.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.89 : 12,670.14 = 5,406.22 : x
2. Step 2: Convert to fraction form
   9,182.89/12,670.14 = 5,406.22/x
3. Step 3: Cross multiply
   9,182.89x = 12,670.14 × 5,406.22
4. Step 4: Simplify right side
   9,182.89x = 68,497,564.27
5. Step 5: Solve for x
   x = 68,497,564.27/9,182.89
6. Step 6: Final answer
   x = 7,459.26