Finding the Fourth Proportional to 4,190.40, 5,706.72 and 4,164.48

Step by Step Solution

1. Step 1: Write the proportion equation
   4,190.40 : 5,706.72 = 4,164.48 : x
2. Step 2: Convert to fraction form
   4,190.40/5,706.72 = 4,164.48/x
3. Step 3: Cross multiply
   4,190.40x = 5,706.72 × 4,164.48
4. Step 4: Simplify right side
   4,190.40x = 23,765,521.31
5. Step 5: Solve for x
   x = 23,765,521.31/4,190.40
6. Step 6: Final answer
   x = 5,671.42