Finding the Fourth Proportional to 7,150.14, 9,866.79 and 4,166.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,150.14 : 9,866.79 = 4,166.46 : x
2. Step 2: Convert to fraction form
   7,150.14/9,866.79 = 4,166.46/x
3. Step 3: Cross multiply
   7,150.14x = 9,866.79 × 4,166.46
4. Step 4: Simplify right side
   7,150.14x = 41,109,585.86
5. Step 5: Solve for x
   x = 41,109,585.86/7,150.14
6. Step 6: Final answer
   x = 5,749.48