Finding the Fourth Proportional to 7,142.94, 9,858.83 and 4,159.37

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.94 : 9,858.83 = 4,159.37 : x
2. Step 2: Convert to fraction form
   7,142.94/9,858.83 = 4,159.37/x
3. Step 3: Cross multiply
   7,142.94x = 9,858.83 × 4,159.37
4. Step 4: Simplify right side
   7,142.94x = 41,006,451.65
5. Step 5: Solve for x
   x = 41,006,451.65/7,142.94
6. Step 6: Final answer
   x = 5,740.84