Finding the Fourth Proportional to 1,411.95, 1,948.36 and 822.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.95 : 1,948.36 = 822.37 : x
2. Step 2: Convert to fraction form
   1,411.95/1,948.36 = 822.37/x
3. Step 3: Cross multiply
   1,411.95x = 1,948.36 × 822.37
4. Step 4: Simplify right side
   1,411.95x = 1,602,272.81
5. Step 5: Solve for x
   x = 1,602,272.81/1,411.95
6. Step 6: Final answer
   x = 1,134.79