Finding the Fourth Proportional to 2,098.84, 3,160.75 and 1,828.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.84 : 3,160.75 = 1,828.20 : x
2. Step 2: Convert to fraction form
   2,098.84/3,160.75 = 1,828.20/x
3. Step 3: Cross multiply
   2,098.84x = 3,160.75 × 1,828.20
4. Step 4: Simplify right side
   2,098.84x = 5,778,483.15
5. Step 5: Solve for x
   x = 5,778,483.15/2,098.84
6. Step 6: Final answer
   x = 2,753.18