Finding the Fourth Proportional to 1,256.31, 1,732.59 and 977.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.31 : 1,732.59 = 977.27 : x
2. Step 2: Convert to fraction form
   1,256.31/1,732.59 = 977.27/x
3. Step 3: Cross multiply
   1,256.31x = 1,732.59 × 977.27
4. Step 4: Simplify right side
   1,256.31x = 1,693,199.57
5. Step 5: Solve for x
   x = 1,693,199.57/1,256.31
6. Step 6: Final answer
   x = 1,347.76