Finding the Fourth Proportional to 1,411.84, 1,947.88 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.84 : 1,947.88 = 822.56 : x
2. Step 2: Convert to fraction form
   1,411.84/1,947.88 = 822.56/x
3. Step 3: Cross multiply
   1,411.84x = 1,947.88 × 822.56
4. Step 4: Simplify right side
   1,411.84x = 1,602,248.17
5. Step 5: Solve for x
   x = 1,602,248.17/1,411.84
6. Step 6: Final answer
   x = 1,134.87