Finding the Fourth Proportional to 2,309.76, 3,463.52 and 770.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,309.76 : 3,463.52 = 770.24 : x
2. Step 2: Convert to fraction form
   2,309.76/3,463.52 = 770.24/x
3. Step 3: Cross multiply
   2,309.76x = 3,463.52 × 770.24
4. Step 4: Simplify right side
   2,309.76x = 2,667,741.64
5. Step 5: Solve for x
   x = 2,667,741.64/2,309.76
6. Step 6: Final answer
   x = 1,154.99