Finding the Fourth Proportional to 1,411.14, 1,947.36 and 813.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.14 : 1,947.36 = 813.63 : x
2. Step 2: Convert to fraction form
   1,411.14/1,947.36 = 813.63/x
3. Step 3: Cross multiply
   1,411.14x = 1,947.36 × 813.63
4. Step 4: Simplify right side
   1,411.14x = 1,584,422.81
5. Step 5: Solve for x
   x = 1,584,422.81/1,411.14
6. Step 6: Final answer
   x = 1,122.80