Finding the Fourth Proportional to 1,411.74, 1,948.14 and 822.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.74 : 1,948.14 = 822.30 : x
2. Step 2: Convert to fraction form
   1,411.74/1,948.14 = 822.30/x
3. Step 3: Cross multiply
   1,411.74x = 1,948.14 × 822.30
4. Step 4: Simplify right side
   1,411.74x = 1,601,955.52
5. Step 5: Solve for x
   x = 1,601,955.52/1,411.74
6. Step 6: Final answer
   x = 1,134.74