Finding the Fourth Proportional to 11,966.54, 17,962.56 and 7,814.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,966.54 : 17,962.56 = 7,814.88 : x
2. Step 2: Convert to fraction form
   11,966.54/17,962.56 = 7,814.88/x
3. Step 3: Cross multiply
   11,966.54x = 17,962.56 × 7,814.88
4. Step 4: Simplify right side
   11,966.54x = 140,375,250.89
5. Step 5: Solve for x
   x = 140,375,250.89/11,966.54
6. Step 6: Final answer
   x = 11,730.65