Finding the Fourth Proportional to 1,746.50, 2,618.90 and 821.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.50 : 2,618.90 = 821.27 : x
2. Step 2: Convert to fraction form
   1,746.50/2,618.90 = 821.27/x
3. Step 3: Cross multiply
   1,746.50x = 2,618.90 × 821.27
4. Step 4: Simplify right side
   1,746.50x = 2,150,824.00
5. Step 5: Solve for x
   x = 2,150,824.00/1,746.50
6. Step 6: Final answer
   x = 1,231.51