Finding the Fourth Proportional to 7,150.46, 9,865.94 and 4,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,150.46 : 9,865.94 = 4,164.50 : x
2. Step 2: Convert to fraction form
   7,150.46/9,865.94 = 4,164.50/x
3. Step 3: Cross multiply
   7,150.46x = 9,865.94 × 4,164.50
4. Step 4: Simplify right side
   7,150.46x = 41,086,707.13
5. Step 5: Solve for x
   x = 41,086,707.13/7,150.46
6. Step 6: Final answer
   x = 5,746.02