Finding the Fourth Proportional to 1,061.77, 1,591.34 and 770.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.77 : 1,591.34 = 770.27 : x
2. Step 2: Convert to fraction form
   1,061.77/1,591.34 = 770.27/x
3. Step 3: Cross multiply
   1,061.77x = 1,591.34 × 770.27
4. Step 4: Simplify right side
   1,061.77x = 1,225,749.65
5. Step 5: Solve for x
   x = 1,225,749.65/1,061.77
6. Step 6: Final answer
   x = 1,154.44