Finding the Fourth Proportional to 2,577.64, 3,558.90 and 1,647.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.64 : 3,558.90 = 1,647.40 : x
2. Step 2: Convert to fraction form
   2,577.64/3,558.90 = 1,647.40/x
3. Step 3: Cross multiply
   2,577.64x = 3,558.90 × 1,647.40
4. Step 4: Simplify right side
   2,577.64x = 5,862,931.86
5. Step 5: Solve for x
   x = 5,862,931.86/2,577.64
6. Step 6: Final answer
   x = 2,274.53