Finding the Fourth Proportional to 1,466.56, 2,196.94 and 772.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.56 : 2,196.94 = 772.18 : x
2. Step 2: Convert to fraction form
   1,466.56/2,196.94 = 772.18/x
3. Step 3: Cross multiply
   1,466.56x = 2,196.94 × 772.18
4. Step 4: Simplify right side
   1,466.56x = 1,696,433.13
5. Step 5: Solve for x
   x = 1,696,433.13/1,466.56
6. Step 6: Final answer
   x = 1,156.74