Finding the Fourth Proportional to 6,385.74, 9,581.34 and 3,466.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385.74 : 9,581.34 = 3,466.14 : x
2. Step 2: Convert to fraction form
   6,385.74/9,581.34 = 3,466.14/x
3. Step 3: Cross multiply
   6,385.74x = 9,581.34 × 3,466.14
4. Step 4: Simplify right side
   6,385.74x = 33,210,265.83
5. Step 5: Solve for x
   x = 33,210,265.83/6,385.74
6. Step 6: Final answer
   x = 5,200.69