Finding the Fourth Proportional to 1,419.86, 1,959.33 and 822.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.86 : 1,959.33 = 822.25 : x
2. Step 2: Convert to fraction form
   1,419.86/1,959.33 = 822.25/x
3. Step 3: Cross multiply
   1,419.86x = 1,959.33 × 822.25
4. Step 4: Simplify right side
   1,419.86x = 1,611,064.63
5. Step 5: Solve for x
   x = 1,611,064.63/1,419.86
6. Step 6: Final answer
   x = 1,134.66