Finding the Fourth Proportional to 1,412.47, 1,949.33 and 822.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.47 : 1,949.33 = 822.99 : x
2. Step 2: Convert to fraction form
   1,412.47/1,949.33 = 822.99/x
3. Step 3: Cross multiply
   1,412.47x = 1,949.33 × 822.99
4. Step 4: Simplify right side
   1,412.47x = 1,604,274.98
5. Step 5: Solve for x
   x = 1,604,274.98/1,412.47
6. Step 6: Final answer
   x = 1,135.80