Finding the Fourth Proportional to 9,426.12, 12,978.24 and 7,180.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,426.12 : 12,978.24 = 7,180.80 : x
2. Step 2: Convert to fraction form
   9,426.12/12,978.24 = 7,180.80/x
3. Step 3: Cross multiply
   9,426.12x = 12,978.24 × 7,180.80
4. Step 4: Simplify right side
   9,426.12x = 93,194,145.79
5. Step 5: Solve for x
   x = 93,194,145.79/9,426.12
6. Step 6: Final answer
   x = 9,886.80