Finding the Fourth Proportional to 7,849.55, 10,827.59 and 4,660.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.55 : 10,827.59 = 4,660.69 : x
2. Step 2: Convert to fraction form
   7,849.55/10,827.59 = 4,660.69/x
3. Step 3: Cross multiply
   7,849.55x = 10,827.59 × 4,660.69
4. Step 4: Simplify right side
   7,849.55x = 50,464,025.02
5. Step 5: Solve for x
   x = 50,464,025.02/7,849.55
6. Step 6: Final answer
   x = 6,428.90