Finding the Fourth Proportional to 7,827.29, 10,802.00 and 4,682.87

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.29 : 10,802.00 = 4,682.87 : x
2. Step 2: Convert to fraction form
   7,827.29/10,802.00 = 4,682.87/x
3. Step 3: Cross multiply
   7,827.29x = 10,802.00 × 4,682.87
4. Step 4: Simplify right side
   7,827.29x = 50,584,338.33
5. Step 5: Solve for x
   x = 50,584,338.33/7,827.29
6. Step 6: Final answer
   x = 6,462.56