Finding the Fourth Proportional to 1,145.95, 1,582.71 and 772.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.95 : 1,582.71 = 772.28 : x
2. Step 2: Convert to fraction form
   1,145.95/1,582.71 = 772.28/x
3. Step 3: Cross multiply
   1,145.95x = 1,582.71 × 772.28
4. Step 4: Simplify right side
   1,145.95x = 1,222,299.24
5. Step 5: Solve for x
   x = 1,222,299.24/1,145.95
6. Step 6: Final answer
   x = 1,066.63