Finding the Fourth Proportional to 1,019.37, 1,407.42 and 772.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.37 : 1,407.42 = 772.04 : x
2. Step 2: Convert to fraction form
   1,019.37/1,407.42 = 772.04/x
3. Step 3: Cross multiply
   1,019.37x = 1,407.42 × 772.04
4. Step 4: Simplify right side
   1,019.37x = 1,086,580.14
5. Step 5: Solve for x
   x = 1,086,580.14/1,019.37
6. Step 6: Final answer
   x = 1,065.93