Finding the Fourth Proportional to 1,322.21, 1,981.16 and 774.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.21 : 1,981.16 = 774.83 : x
2. Step 2: Convert to fraction form
   1,322.21/1,981.16 = 774.83/x
3. Step 3: Cross multiply
   1,322.21x = 1,981.16 × 774.83
4. Step 4: Simplify right side
   1,322.21x = 1,535,058.33
5. Step 5: Solve for x
   x = 1,535,058.33/1,322.21
6. Step 6: Final answer
   x = 1,160.98