Finding the Fourth Proportional to 1,259.90, 1,738.77 and 700.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.90 : 1,738.77 = 700.55 : x
2. Step 2: Convert to fraction form
   1,259.90/1,738.77 = 700.55/x
3. Step 3: Cross multiply
   1,259.90x = 1,738.77 × 700.55
4. Step 4: Simplify right side
   1,259.90x = 1,218,095.32
5. Step 5: Solve for x
   x = 1,218,095.32/1,259.90
6. Step 6: Final answer
   x = 966.82