Finding the Fourth Proportional to 1,466.61, 2,200.23 and 772.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.61 : 2,200.23 = 772.91 : x
2. Step 2: Convert to fraction form
   1,466.61/2,200.23 = 772.91/x
3. Step 3: Cross multiply
   1,466.61x = 2,200.23 × 772.91
4. Step 4: Simplify right side
   1,466.61x = 1,700,568.77
5. Step 5: Solve for x
   x = 1,700,568.77/1,466.61
6. Step 6: Final answer
   x = 1,159.52