Finding the Fourth Proportional to 5,830.09, 8,042.76 and 3,942.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,830.09 : 8,042.76 = 3,942.34 : x
2. Step 2: Convert to fraction form
   5,830.09/8,042.76 = 3,942.34/x
3. Step 3: Cross multiply
   5,830.09x = 8,042.76 × 3,942.34
4. Step 4: Simplify right side
   5,830.09x = 31,707,274.35
5. Step 5: Solve for x
   x = 31,707,274.35/5,830.09
6. Step 6: Final answer
   x = 5,438.56