Finding the Fourth Proportional to 1,759.27, 2,637.69 and 771.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,759.27 : 2,637.69 = 771.61 : x
2. Step 2: Convert to fraction form
   1,759.27/2,637.69 = 771.61/x
3. Step 3: Cross multiply
   1,759.27x = 2,637.69 × 771.61
4. Step 4: Simplify right side
   1,759.27x = 2,035,267.98
5. Step 5: Solve for x
   x = 2,035,267.98/1,759.27
6. Step 6: Final answer
   x = 1,156.88