Finding the Fourth Proportional to 14,146.42, 19,510.80 and 9,111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   14,146.42 : 19,510.80 = 9,111.06 : x
2. Step 2: Convert to fraction form
   14,146.42/19,510.80 = 9,111.06/x
3. Step 3: Cross multiply
   14,146.42x = 19,510.80 × 9,111.06
4. Step 4: Simplify right side
   14,146.42x = 177,764,069.45
5. Step 5: Solve for x
   x = 177,764,069.45/14,146.42
6. Step 6: Final answer
   x = 12,566.01