Finding the Fourth Proportional to 1,463.29, 2,196.32 and 770.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.29 : 2,196.32 = 770.47 : x
2. Step 2: Convert to fraction form
   1,463.29/2,196.32 = 770.47/x
3. Step 3: Cross multiply
   1,463.29x = 2,196.32 × 770.47
4. Step 4: Simplify right side
   1,463.29x = 1,692,189.33
5. Step 5: Solve for x
   x = 1,692,189.33/1,463.29
6. Step 6: Final answer
   x = 1,156.43