Finding the Fourth Proportional to 14,072.42, 19,419.70 and 7,784.80

Step by Step Solution

1. Step 1: Write the proportion equation
   14,072.42 : 19,419.70 = 7,784.80 : x
2. Step 2: Convert to fraction form
   14,072.42/19,419.70 = 7,784.80/x
3. Step 3: Cross multiply
   14,072.42x = 19,419.70 × 7,784.80
4. Step 4: Simplify right side
   14,072.42x = 151,178,480.56
5. Step 5: Solve for x
   x = 151,178,480.56/14,072.42
6. Step 6: Final answer
   x = 10,742.89