Finding the Fourth Proportional to 1,058.34, 1,461.24 and 709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,058.34 : 1,461.24 = 709.50 : x
2. Step 2: Convert to fraction form
   1,058.34/1,461.24 = 709.50/x
3. Step 3: Cross multiply
   1,058.34x = 1,461.24 × 709.50
4. Step 4: Simplify right side
   1,058.34x = 1,036,749.78
5. Step 5: Solve for x
   x = 1,036,749.78/1,058.34
6. Step 6: Final answer
   x = 979.60