Finding the Fourth Proportional to 2,583.12, 3,564.72 and 1,535.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.12 : 3,564.72 = 1,535.16 : x
2. Step 2: Convert to fraction form
   2,583.12/3,564.72 = 1,535.16/x
3. Step 3: Cross multiply
   2,583.12x = 3,564.72 × 1,535.16
4. Step 4: Simplify right side
   2,583.12x = 5,472,415.56
5. Step 5: Solve for x
   x = 5,472,415.56/2,583.12
6. Step 6: Final answer
   x = 2,118.53