Finding the Fourth Proportional to 5,944.90, 8,185.29 and 5,046.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,944.90 : 8,185.29 = 5,046.78 : x
2. Step 2: Convert to fraction form
   5,944.90/8,185.29 = 5,046.78/x
3. Step 3: Cross multiply
   5,944.90x = 8,185.29 × 5,046.78
4. Step 4: Simplify right side
   5,944.90x = 41,309,342.01
5. Step 5: Solve for x
   x = 41,309,342.01/5,944.90
6. Step 6: Final answer
   x = 6,948.70