Finding the Fourth Proportional to 7,142.42, 9,856.65 and 4,309.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.42 : 9,856.65 = 4,309.94 : x
2. Step 2: Convert to fraction form
   7,142.42/9,856.65 = 4,309.94/x
3. Step 3: Cross multiply
   7,142.42x = 9,856.65 × 4,309.94
4. Step 4: Simplify right side
   7,142.42x = 42,481,570.10
5. Step 5: Solve for x
   x = 42,481,570.10/7,142.42
6. Step 6: Final answer
   x = 5,947.78