Finding the Fourth Proportional to 830.34, 1,143.27 and 705.72

Step by Step Solution

1. Step 1: Write the proportion equation
   830.34 : 1,143.27 = 705.72 : x
2. Step 2: Convert to fraction form
   830.34/1,143.27 = 705.72/x
3. Step 3: Cross multiply
   830.34x = 1,143.27 × 705.72
4. Step 4: Simplify right side
   830.34x = 806,828.50
5. Step 5: Solve for x
   x = 806,828.50/830.34
6. Step 6: Final answer
   x = 971.68