Finding the Fourth Proportional to 2,098, 2,895.24 and 1,166.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098 : 2,895.24 = 1,166.72 : x
2. Step 2: Convert to fraction form
   2,098/2,895.24 = 1,166.72/x
3. Step 3: Cross multiply
   2,098x = 2,895.24 × 1,166.72
4. Step 4: Simplify right side
   2,098x = 3,377,934.41
5. Step 5: Solve for x
   x = 3,377,934.41/2,098
6. Step 6: Final answer
   x = 1,610.07