Finding the Fourth Proportional to 3,947.78, 5,922.23 and 1,314.43

Step by Step Solution

1. Step 1: Write the proportion equation
   3,947.78 : 5,922.23 = 1,314.43 : x
2. Step 2: Convert to fraction form
   3,947.78/5,922.23 = 1,314.43/x
3. Step 3: Cross multiply
   3,947.78x = 5,922.23 × 1,314.43
4. Step 4: Simplify right side
   3,947.78x = 7,784,335.40
5. Step 5: Solve for x
   x = 7,784,335.40/3,947.78
6. Step 6: Final answer
   x = 1,971.82