Finding the Fourth Proportional to 3,746.84, 5,616.60 and 2,429.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.84 : 5,616.60 = 2,429.78 : x
2. Step 2: Convert to fraction form
   3,746.84/5,616.60 = 2,429.78/x
3. Step 3: Cross multiply
   3,746.84x = 5,616.60 × 2,429.78
4. Step 4: Simplify right side
   3,746.84x = 13,647,065.15
5. Step 5: Solve for x
   x = 13,647,065.15/3,746.84
6. Step 6: Final answer
   x = 3,642.29