Finding the Fourth Proportional to 1,159.85, 1,600.69 and 711.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,159.85 : 1,600.69 = 711.72 : x
2. Step 2: Convert to fraction form
   1,159.85/1,600.69 = 711.72/x
3. Step 3: Cross multiply
   1,159.85x = 1,600.69 × 711.72
4. Step 4: Simplify right side
   1,159.85x = 1,139,243.09
5. Step 5: Solve for x
   x = 1,139,243.09/1,159.85
6. Step 6: Final answer
   x = 982.23