Finding the Fourth Proportional to 9,214.62, 12,715.54 and 5,182.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214.62 : 12,715.54 = 5,182.05 : x
2. Step 2: Convert to fraction form
   9,214.62/12,715.54 = 5,182.05/x
3. Step 3: Cross multiply
   9,214.62x = 12,715.54 × 5,182.05
4. Step 4: Simplify right side
   9,214.62x = 65,892,564.06
5. Step 5: Solve for x
   x = 65,892,564.06/9,214.62
6. Step 6: Final answer
   x = 7,150.87