Finding the Fourth Proportional to 1,724.77, 2,586.33 and 800.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,724.77 : 2,586.33 = 800.76 : x
2. Step 2: Convert to fraction form
   1,724.77/2,586.33 = 800.76/x
3. Step 3: Cross multiply
   1,724.77x = 2,586.33 × 800.76
4. Step 4: Simplify right side
   1,724.77x = 2,071,029.61
5. Step 5: Solve for x
   x = 2,071,029.61/1,724.77
6. Step 6: Final answer
   x = 1,200.76