Finding the Fourth Proportional to 2,583.80, 3,564.50 and 1,535.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.80 : 3,564.50 = 1,535.25 : x
2. Step 2: Convert to fraction form
   2,583.80/3,564.50 = 1,535.25/x
3. Step 3: Cross multiply
   2,583.80x = 3,564.50 × 1,535.25
4. Step 4: Simplify right side
   2,583.80x = 5,472,390.95
5. Step 5: Solve for x
   x = 5,472,390.95/2,583.80
6. Step 6: Final answer
   x = 2,117.97