Finding the Fourth Proportional to 1,463.24, 2,196.23 and 770.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.24 : 2,196.23 = 770.42 : x
2. Step 2: Convert to fraction form
   1,463.24/2,196.23 = 770.42/x
3. Step 3: Cross multiply
   1,463.24x = 2,196.23 × 770.42
4. Step 4: Simplify right side
   1,463.24x = 1,692,004.68
5. Step 5: Solve for x
   x = 1,692,004.68/1,463.24
6. Step 6: Final answer
   x = 1,156.35