Finding the Fourth Proportional to 9,214.18, 12,714.29 and 5,180.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214.18 : 12,714.29 = 5,180.46 : x
2. Step 2: Convert to fraction form
   9,214.18/12,714.29 = 5,180.46/x
3. Step 3: Cross multiply
   9,214.18x = 12,714.29 × 5,180.46
4. Step 4: Simplify right side
   9,214.18x = 65,865,870.77
5. Step 5: Solve for x
   x = 65,865,870.77/9,214.18
6. Step 6: Final answer
   x = 7,148.32