Finding the Fourth Proportional to 13,788.42, 19,028.13 and 7,500.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,788.42 : 19,028.13 = 7,500.78 : x
2. Step 2: Convert to fraction form
   13,788.42/19,028.13 = 7,500.78/x
3. Step 3: Cross multiply
   13,788.42x = 19,028.13 × 7,500.78
4. Step 4: Simplify right side
   13,788.42x = 142,725,816.94
5. Step 5: Solve for x
   x = 142,725,816.94/13,788.42
6. Step 6: Final answer
   x = 10,351.14