Finding the Fourth Proportional to 3,769.25, 5,200.83 and 2,442.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.25 : 5,200.83 = 2,442.78 : x
2. Step 2: Convert to fraction form
   3,769.25/5,200.83 = 2,442.78/x
3. Step 3: Cross multiply
   3,769.25x = 5,200.83 × 2,442.78
4. Step 4: Simplify right side
   3,769.25x = 12,704,483.51
5. Step 5: Solve for x
   x = 12,704,483.51/3,769.25
6. Step 6: Final answer
   x = 3,370.56