Finding the Fourth Proportional to 1,162.14, 1,740.27 and 770.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.14 : 1,740.27 = 770.96 : x
2. Step 2: Convert to fraction form
   1,162.14/1,740.27 = 770.96/x
3. Step 3: Cross multiply
   1,162.14x = 1,740.27 × 770.96
4. Step 4: Simplify right side
   1,162.14x = 1,341,669.86
5. Step 5: Solve for x
   x = 1,341,669.86/1,162.14
6. Step 6: Final answer
   x = 1,154.49