Finding the Fourth Proportional to 1,460.48, 2,015.33 and 822.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.48 : 2,015.33 = 822.38 : x
2. Step 2: Convert to fraction form
   1,460.48/2,015.33 = 822.38/x
3. Step 3: Cross multiply
   1,460.48x = 2,015.33 × 822.38
4. Step 4: Simplify right side
   1,460.48x = 1,657,368.01
5. Step 5: Solve for x
   x = 1,657,368.01/1,460.48
6. Step 6: Final answer
   x = 1,134.81