Finding the Fourth Proportional to 13,786.42, 19,025.25 and 7,498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,786.42 : 19,025.25 = 7,498.78 : x
2. Step 2: Convert to fraction form
   13,786.42/19,025.25 = 7,498.78/x
3. Step 3: Cross multiply
   13,786.42x = 19,025.25 × 7,498.78
4. Step 4: Simplify right side
   13,786.42x = 142,666,164.20
5. Step 5: Solve for x
   x = 142,666,164.20/13,786.42
6. Step 6: Final answer
   x = 10,348.31