Finding the Fourth Proportional to 2,185.78, 3,275.60 and 1,535.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.78 : 3,275.60 = 1,535.18 : x
2. Step 2: Convert to fraction form
   2,185.78/3,275.60 = 1,535.18/x
3. Step 3: Cross multiply
   2,185.78x = 3,275.60 × 1,535.18
4. Step 4: Simplify right side
   2,185.78x = 5,028,635.61
5. Step 5: Solve for x
   x = 5,028,635.61/2,185.78
6. Step 6: Final answer
   x = 2,300.61