Finding the Fourth Proportional to 2,198.74, 3,032.86 and 1,535.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.74 : 3,032.86 = 1,535.35 : x
2. Step 2: Convert to fraction form
   2,198.74/3,032.86 = 1,535.35/x
3. Step 3: Cross multiply
   2,198.74x = 3,032.86 × 1,535.35
4. Step 4: Simplify right side
   2,198.74x = 4,656,501.60
5. Step 5: Solve for x
   x = 4,656,501.60/2,198.74
6. Step 6: Final answer
   x = 2,117.80