Finding the Fourth Proportional to 6,802.46, 9,384.06 and 4,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,802.46 : 9,384.06 = 4,564.82 : x
2. Step 2: Convert to fraction form
   6,802.46/9,384.06 = 4,564.82/x
3. Step 3: Cross multiply
   6,802.46x = 9,384.06 × 4,564.82
4. Step 4: Simplify right side
   6,802.46x = 42,836,544.77
5. Step 5: Solve for x
   x = 42,836,544.77/6,802.46
6. Step 6: Final answer
   x = 6,297.21