Finding the Fourth Proportional to 5,781.42, 7,973.46 and 4,662

Step by Step Solution

1. Step 1: Write the proportion equation
   5,781.42 : 7,973.46 = 4,662 : x
2. Step 2: Convert to fraction form
   5,781.42/7,973.46 = 4,662/x
3. Step 3: Cross multiply
   5,781.42x = 7,973.46 × 4,662
4. Step 4: Simplify right side
   5,781.42x = 37,172,270.52
5. Step 5: Solve for x
   x = 37,172,270.52/5,781.42
6. Step 6: Final answer
   x = 6,429.61