Finding the Fourth Proportional to 1,019.56, 1,407.14 and 822.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.56 : 1,407.14 = 822.76 : x
2. Step 2: Convert to fraction form
   1,019.56/1,407.14 = 822.76/x
3. Step 3: Cross multiply
   1,019.56x = 1,407.14 × 822.76
4. Step 4: Simplify right side
   1,019.56x = 1,157,738.51
5. Step 5: Solve for x
   x = 1,157,738.51/1,019.56
6. Step 6: Final answer
   x = 1,135.53