Finding the Fourth Proportional to 1,411.13, 1,947.36 and 822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.13 : 1,947.36 = 822.06 : x
2. Step 2: Convert to fraction form
   1,411.13/1,947.36 = 822.06/x
3. Step 3: Cross multiply
   1,411.13x = 1,947.36 × 822.06
4. Step 4: Simplify right side
   1,411.13x = 1,600,846.76
5. Step 5: Solve for x
   x = 1,600,846.76/1,411.13
6. Step 6: Final answer
   x = 1,134.44