Finding the Fourth Proportional to 1,411.49, 1,948.23 and 822.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.49 : 1,948.23 = 822.13 : x
2. Step 2: Convert to fraction form
   1,411.49/1,948.23 = 822.13/x
3. Step 3: Cross multiply
   1,411.49x = 1,948.23 × 822.13
4. Step 4: Simplify right side
   1,411.49x = 1,601,693.46
5. Step 5: Solve for x
   x = 1,601,693.46/1,411.49
6. Step 6: Final answer
   x = 1,134.75