Finding the Fourth Proportional to 1,464.45, 2,196.23 and 770.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.45 : 2,196.23 = 770.74 : x
2. Step 2: Convert to fraction form
   1,464.45/2,196.23 = 770.74/x
3. Step 3: Cross multiply
   1,464.45x = 2,196.23 × 770.74
4. Step 4: Simplify right side
   1,464.45x = 1,692,722.31
5. Step 5: Solve for x
   x = 1,692,722.31/1,464.45
6. Step 6: Final answer
   x = 1,155.88