Finding the Fourth Proportional to 1,822.91, 2,734.83 and 783

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.91 : 2,734.83 = 783 : x
2. Step 2: Convert to fraction form
   1,822.91/2,734.83 = 783/x
3. Step 3: Cross multiply
   1,822.91x = 2,734.83 × 783
4. Step 4: Simplify right side
   1,822.91x = 2,141,371.89
5. Step 5: Solve for x
   x = 2,141,371.89/1,822.91
6. Step 6: Final answer
   x = 1,174.70