Finding the Fourth Proportional to 1,826.65, 2,740.28 and 1,005.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.65 : 2,740.28 = 1,005.31 : x
2. Step 2: Convert to fraction form
   1,826.65/2,740.28 = 1,005.31/x
3. Step 3: Cross multiply
   1,826.65x = 2,740.28 × 1,005.31
4. Step 4: Simplify right side
   1,826.65x = 2,754,830.89
5. Step 5: Solve for x
   x = 2,754,830.89/1,826.65
6. Step 6: Final answer
   x = 1,508.13