Finding the Fourth Proportional to 6,109.40, 8,437.91 and 4,116.49

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.40 : 8,437.91 = 4,116.49 : x
2. Step 2: Convert to fraction form
   6,109.40/8,437.91 = 4,116.49/x
3. Step 3: Cross multiply
   6,109.40x = 8,437.91 × 4,116.49
4. Step 4: Simplify right side
   6,109.40x = 34,734,530.46
5. Step 5: Solve for x
   x = 34,734,530.46/6,109.40
6. Step 6: Final answer
   x = 5,685.42