Finding the Fourth Proportional to 6,109.48, 9,152.42 and 3,646.27

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.48 : 9,152.42 = 3,646.27 : x
2. Step 2: Convert to fraction form
   6,109.48/9,152.42 = 3,646.27/x
3. Step 3: Cross multiply
   6,109.48x = 9,152.42 × 3,646.27
4. Step 4: Simplify right side
   6,109.48x = 33,372,194.47
5. Step 5: Solve for x
   x = 33,372,194.47/6,109.48
6. Step 6: Final answer
   x = 5,462.36