Finding the Fourth Proportional to 2,583.78, 3,564.53 and 1,535.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.78 : 3,564.53 = 1,535.30 : x
2. Step 2: Convert to fraction form
   2,583.78/3,564.53 = 1,535.30/x
3. Step 3: Cross multiply
   2,583.78x = 3,564.53 × 1,535.30
4. Step 4: Simplify right side
   2,583.78x = 5,472,622.91
5. Step 5: Solve for x
   x = 5,472,622.91/2,583.78
6. Step 6: Final answer
   x = 2,118.07