Finding the Fourth Proportional to 5,678.90, 7,832.43 and 3,690.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,678.90 : 7,832.43 = 3,690.10 : x
2. Step 2: Convert to fraction form
   5,678.90/7,832.43 = 3,690.10/x
3. Step 3: Cross multiply
   5,678.90x = 7,832.43 × 3,690.10
4. Step 4: Simplify right side
   5,678.90x = 28,902,392.33
5. Step 5: Solve for x
   x = 28,902,392.33/5,678.90
6. Step 6: Final answer
   x = 5,089.44