Finding the Fourth Proportional to 7,846.28, 10,827.83 and 4,261.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.28 : 10,827.83 = 4,261.25 : x
2. Step 2: Convert to fraction form
   7,846.28/10,827.83 = 4,261.25/x
3. Step 3: Cross multiply
   7,846.28x = 10,827.83 × 4,261.25
4. Step 4: Simplify right side
   7,846.28x = 46,140,052.86
5. Step 5: Solve for x
   x = 46,140,052.86/7,846.28
6. Step 6: Final answer
   x = 5,880.50