Finding the Fourth Proportional to 2,454.29, 3,679.61 and 1,577.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,454.29 : 3,679.61 = 1,577.76 : x
2. Step 2: Convert to fraction form
   2,454.29/3,679.61 = 1,577.76/x
3. Step 3: Cross multiply
   2,454.29x = 3,679.61 × 1,577.76
4. Step 4: Simplify right side
   2,454.29x = 5,805,533.58
5. Step 5: Solve for x
   x = 5,805,533.58/2,454.29
6. Step 6: Final answer
   x = 2,365.47