Finding the Fourth Proportional to 12,782.51, 19,178.53 and 5,760.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,782.51 : 19,178.53 = 5,760.42 : x
2. Step 2: Convert to fraction form
   12,782.51/19,178.53 = 5,760.42/x
3. Step 3: Cross multiply
   12,782.51x = 19,178.53 × 5,760.42
4. Step 4: Simplify right side
   12,782.51x = 110,476,387.78
5. Step 5: Solve for x
   x = 110,476,387.78/12,782.51
6. Step 6: Final answer
   x = 8,642.78