Finding the Fourth Proportional to 1,466.30, 2,199.59 and 772.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.30 : 2,199.59 = 772.55 : x
2. Step 2: Convert to fraction form
   1,466.30/2,199.59 = 772.55/x
3. Step 3: Cross multiply
   1,466.30x = 2,199.59 × 772.55
4. Step 4: Simplify right side
   1,466.30x = 1,699,293.25
5. Step 5: Solve for x
   x = 1,699,293.25/1,466.30
6. Step 6: Final answer
   x = 1,158.90