Finding the Fourth Proportional to 1,830.78, 2,742.51 and 1,099.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.78 : 2,742.51 = 1,099.97 : x
2. Step 2: Convert to fraction form
   1,830.78/2,742.51 = 1,099.97/x
3. Step 3: Cross multiply
   1,830.78x = 2,742.51 × 1,099.97
4. Step 4: Simplify right side
   1,830.78x = 3,016,665.01
5. Step 5: Solve for x
   x = 3,016,665.01/1,830.78
6. Step 6: Final answer
   x = 1,647.75