Finding the Fourth Proportional to 1,414.32, 1,947.81 and 1,139.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.32 : 1,947.81 = 1,139.73 : x
2. Step 2: Convert to fraction form
   1,414.32/1,947.81 = 1,139.73/x
3. Step 3: Cross multiply
   1,414.32x = 1,947.81 × 1,139.73
4. Step 4: Simplify right side
   1,414.32x = 2,219,977.49
5. Step 5: Solve for x
   x = 2,219,977.49/1,414.32
6. Step 6: Final answer
   x = 1,569.64