Finding the Fourth Proportional to 2,577.59, 3,564.05 and 2,535.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.59 : 3,564.05 = 2,535.89 : x
2. Step 2: Convert to fraction form
   2,577.59/3,564.05 = 2,535.89/x
3. Step 3: Cross multiply
   2,577.59x = 3,564.05 × 2,535.89
4. Step 4: Simplify right side
   2,577.59x = 9,038,008.25
5. Step 5: Solve for x
   x = 9,038,008.25/2,577.59
6. Step 6: Final answer
   x = 3,506.39