Finding the Fourth Proportional to 1,066.32, 1,596.06 and 772.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.32 : 1,596.06 = 772.80 : x
2. Step 2: Convert to fraction form
   1,066.32/1,596.06 = 772.80/x
3. Step 3: Cross multiply
   1,066.32x = 1,596.06 × 772.80
4. Step 4: Simplify right side
   1,066.32x = 1,233,435.17
5. Step 5: Solve for x
   x = 1,233,435.17/1,066.32
6. Step 6: Final answer
   x = 1,156.72