Finding the Fourth Proportional to 1,166.16, 1,609.96 and 773.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.16 : 1,609.96 = 773.72 : x
2. Step 2: Convert to fraction form
   1,166.16/1,609.96 = 773.72/x
3. Step 3: Cross multiply
   1,166.16x = 1,609.96 × 773.72
4. Step 4: Simplify right side
   1,166.16x = 1,245,658.25
5. Step 5: Solve for x
   x = 1,245,658.25/1,166.16
6. Step 6: Final answer
   x = 1,068.17