Finding the Fourth Proportional to 13,777.83, 19,013.41 and 7,490.20

Step by Step Solution

1. Step 1: Write the proportion equation
   13,777.83 : 19,013.41 = 7,490.20 : x
2. Step 2: Convert to fraction form
   13,777.83/19,013.41 = 7,490.20/x
3. Step 3: Cross multiply
   13,777.83x = 19,013.41 × 7,490.20
4. Step 4: Simplify right side
   13,777.83x = 142,414,243.58
5. Step 5: Solve for x
   x = 142,414,243.58/13,777.83
6. Step 6: Final answer
   x = 10,336.48