Finding the Fourth Proportional to 2,569.77, 3,850.56 and 1,527.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.77 : 3,850.56 = 1,527.30 : x
2. Step 2: Convert to fraction form
   2,569.77/3,850.56 = 1,527.30/x
3. Step 3: Cross multiply
   2,569.77x = 3,850.56 × 1,527.30
4. Step 4: Simplify right side
   2,569.77x = 5,880,974.73
5. Step 5: Solve for x
   x = 5,880,974.73/2,569.77
6. Step 6: Final answer
   x = 2,288.52