Finding the Fourth Proportional to 1,411.36, 1,947.44 and 813.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.36 : 1,947.44 = 813.86 : x
2. Step 2: Convert to fraction form
   1,411.36/1,947.44 = 813.86/x
3. Step 3: Cross multiply
   1,411.36x = 1,947.44 × 813.86
4. Step 4: Simplify right side
   1,411.36x = 1,584,954.07
5. Step 5: Solve for x
   x = 1,584,954.07/1,411.36
6. Step 6: Final answer
   x = 1,123.00