Finding the Fourth Proportional to 1,896.31, 2,844.57 and 726.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,896.31 : 2,844.57 = 726.10 : x
2. Step 2: Convert to fraction form
   1,896.31/2,844.57 = 726.10/x
3. Step 3: Cross multiply
   1,896.31x = 2,844.57 × 726.10
4. Step 4: Simplify right side
   1,896.31x = 2,065,424.42
5. Step 5: Solve for x
   x = 2,065,424.42/1,896.31
6. Step 6: Final answer
   x = 1,089.18