Finding the Fourth Proportional to 1,463.88, 2,196.20 and 770.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.88 : 2,196.20 = 770.37 : x
2. Step 2: Convert to fraction form
   1,463.88/2,196.20 = 770.37/x
3. Step 3: Cross multiply
   1,463.88x = 2,196.20 × 770.37
4. Step 4: Simplify right side
   1,463.88x = 1,691,886.59
5. Step 5: Solve for x
   x = 1,691,886.59/1,463.88
6. Step 6: Final answer
   x = 1,155.75