Finding the Fourth Proportional to 6,841.14, 9,440.78 and 3,697.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841.14 : 9,440.78 = 3,697.34 : x
2. Step 2: Convert to fraction form
   6,841.14/9,440.78 = 3,697.34/x
3. Step 3: Cross multiply
   6,841.14x = 9,440.78 × 3,697.34
4. Step 4: Simplify right side
   6,841.14x = 34,905,707.83
5. Step 5: Solve for x
   x = 34,905,707.83/6,841.14
6. Step 6: Final answer
   x = 5,102.32