Finding the Fourth Proportional to 1,849.40, 2,767.15 and 1,106.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.40 : 2,767.15 = 1,106.28 : x
2. Step 2: Convert to fraction form
   1,849.40/2,767.15 = 1,106.28/x
3. Step 3: Cross multiply
   1,849.40x = 2,767.15 × 1,106.28
4. Step 4: Simplify right side
   1,849.40x = 3,061,228.87
5. Step 5: Solve for x
   x = 3,061,228.87/1,849.40
6. Step 6: Final answer
   x = 1,655.26