Finding the Fourth Proportional to 1,026.56, 1,417.31 and 711.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.56 : 1,417.31 = 711.71 : x
2. Step 2: Convert to fraction form
   1,026.56/1,417.31 = 711.71/x
3. Step 3: Cross multiply
   1,026.56x = 1,417.31 × 711.71
4. Step 4: Simplify right side
   1,026.56x = 1,008,715.46
5. Step 5: Solve for x
   x = 1,008,715.46/1,026.56
6. Step 6: Final answer
   x = 982.61