Finding the Fourth Proportional to 1,419.95, 1,959.51 and 822.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.95 : 1,959.51 = 822.52 : x
2. Step 2: Convert to fraction form
   1,419.95/1,959.51 = 822.52/x
3. Step 3: Cross multiply
   1,419.95x = 1,959.51 × 822.52
4. Step 4: Simplify right side
   1,419.95x = 1,611,736.17
5. Step 5: Solve for x
   x = 1,611,736.17/1,419.95
6. Step 6: Final answer
   x = 1,135.07