Finding the Fourth Proportional to 13,782.42, 19,019.85 and 7,494.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,782.42 : 19,019.85 = 7,494.78 : x
2. Step 2: Convert to fraction form
   13,782.42/19,019.85 = 7,494.78/x
3. Step 3: Cross multiply
   13,782.42x = 19,019.85 × 7,494.78
4. Step 4: Simplify right side
   13,782.42x = 142,549,591.38
5. Step 5: Solve for x
   x = 142,549,591.38/13,782.42
6. Step 6: Final answer
   x = 10,342.86