Finding the Fourth Proportional to 5,773.67, 7,967.90 and 3,648.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,773.67 : 7,967.90 = 3,648.42 : x
2. Step 2: Convert to fraction form
   5,773.67/7,967.90 = 3,648.42/x
3. Step 3: Cross multiply
   5,773.67x = 7,967.90 × 3,648.42
4. Step 4: Simplify right side
   5,773.67x = 29,070,256.52
5. Step 5: Solve for x
   x = 29,070,256.52/5,773.67
6. Step 6: Final answer
   x = 5,034.97