Finding the Fourth Proportional to 1,410.33, 1,946.26 and 772.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.33 : 1,946.26 = 772.27 : x
2. Step 2: Convert to fraction form
   1,410.33/1,946.26 = 772.27/x
3. Step 3: Cross multiply
   1,410.33x = 1,946.26 × 772.27
4. Step 4: Simplify right side
   1,410.33x = 1,503,038.21
5. Step 5: Solve for x
   x = 1,503,038.21/1,410.33
6. Step 6: Final answer
   x = 1,065.74