Finding the Fourth Proportional to 1,256.25, 1,733.83 and 1,200.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.25 : 1,733.83 = 1,200.88 : x
2. Step 2: Convert to fraction form
   1,256.25/1,733.83 = 1,200.88/x
3. Step 3: Cross multiply
   1,256.25x = 1,733.83 × 1,200.88
4. Step 4: Simplify right side
   1,256.25x = 2,082,121.77
5. Step 5: Solve for x
   x = 2,082,121.77/1,256.25
6. Step 6: Final answer
   x = 1,657.41