Finding the Fourth Proportional to 3,870.50, 5,791.17 and 2,402.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870.50 : 5,791.17 = 2,402.78 : x
2. Step 2: Convert to fraction form
   3,870.50/5,791.17 = 2,402.78/x
3. Step 3: Cross multiply
   3,870.50x = 5,791.17 × 2,402.78
4. Step 4: Simplify right side
   3,870.50x = 13,914,907.45
5. Step 5: Solve for x
   x = 13,914,907.45/3,870.50
6. Step 6: Final answer
   x = 3,595.12