Finding the Fourth Proportional to 5,947.23, 8,204.82 and 3,822.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947.23 : 8,204.82 = 3,822.45 : x
2. Step 2: Convert to fraction form
   5,947.23/8,204.82 = 3,822.45/x
3. Step 3: Cross multiply
   5,947.23x = 8,204.82 × 3,822.45
4. Step 4: Simplify right side
   5,947.23x = 31,362,514.21
5. Step 5: Solve for x
   x = 31,362,514.21/5,947.23
6. Step 6: Final answer
   x = 5,273.47