Finding the Fourth Proportional to 5,945.85, 8,180.12 and 5,781.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,945.85 : 8,180.12 = 5,781.83 : x
2. Step 2: Convert to fraction form
   5,945.85/8,180.12 = 5,781.83/x
3. Step 3: Cross multiply
   5,945.85x = 8,180.12 × 5,781.83
4. Step 4: Simplify right side
   5,945.85x = 47,296,036.77
5. Step 5: Solve for x
   x = 47,296,036.77/5,945.85
6. Step 6: Final answer
   x = 7,954.46