Finding the Fourth Proportional to 7,146.75, 9,863.71 and 4,164.35

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146.75 : 9,863.71 = 4,164.35 : x
2. Step 2: Convert to fraction form
   7,146.75/9,863.71 = 4,164.35/x
3. Step 3: Cross multiply
   7,146.75x = 9,863.71 × 4,164.35
4. Step 4: Simplify right side
   7,146.75x = 41,075,940.74
5. Step 5: Solve for x
   x = 41,075,940.74/7,146.75
6. Step 6: Final answer
   x = 5,747.50