Finding the Fourth Proportional to 7,546.72, 10,414.01 and 4,189.33

Step by Step Solution

1. Step 1: Write the proportion equation
   7,546.72 : 10,414.01 = 4,189.33 : x
2. Step 2: Convert to fraction form
   7,546.72/10,414.01 = 4,189.33/x
3. Step 3: Cross multiply
   7,546.72x = 10,414.01 × 4,189.33
4. Step 4: Simplify right side
   7,546.72x = 43,627,724.51
5. Step 5: Solve for x
   x = 43,627,724.51/7,546.72
6. Step 6: Final answer
   x = 5,781.02