Finding the Fourth Proportional to 5,689.90, 7,849.04 and 3,918.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,689.90 : 7,849.04 = 3,918.42 : x
2. Step 2: Convert to fraction form
   5,689.90/7,849.04 = 3,918.42/x
3. Step 3: Cross multiply
   5,689.90x = 7,849.04 × 3,918.42
4. Step 4: Simplify right side
   5,689.90x = 30,755,835.32
5. Step 5: Solve for x
   x = 30,755,835.32/5,689.90
6. Step 6: Final answer
   x = 5,405.34