Finding the Fourth Proportional to 1,057.71, 1,460.16 and 704.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,057.71 : 1,460.16 = 704.23 : x
2. Step 2: Convert to fraction form
   1,057.71/1,460.16 = 704.23/x
3. Step 3: Cross multiply
   1,057.71x = 1,460.16 × 704.23
4. Step 4: Simplify right side
   1,057.71x = 1,028,284.83
5. Step 5: Solve for x
   x = 1,028,284.83/1,057.71
6. Step 6: Final answer
   x = 972.18