Finding the Fourth Proportional to 7,164.40, 9,887.46 and 4,180.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,164.40 : 9,887.46 = 4,180.42 : x
2. Step 2: Convert to fraction form
   7,164.40/9,887.46 = 4,180.42/x
3. Step 3: Cross multiply
   7,164.40x = 9,887.46 × 4,180.42
4. Step 4: Simplify right side
   7,164.40x = 41,333,735.53
5. Step 5: Solve for x
   x = 41,333,735.53/7,164.40
6. Step 6: Final answer
   x = 5,769.32