Finding the Fourth Proportional to 3,894.01, 5,376.72 and 2,569.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,894.01 : 5,376.72 = 2,569.60 : x
2. Step 2: Convert to fraction form
   3,894.01/5,376.72 = 2,569.60/x
3. Step 3: Cross multiply
   3,894.01x = 5,376.72 × 2,569.60
4. Step 4: Simplify right side
   3,894.01x = 13,816,019.71
5. Step 5: Solve for x
   x = 13,816,019.71/3,894.01
6. Step 6: Final answer
   x = 3,548.02