Finding the Fourth Proportional to 6,802.62, 9,382.89 and 5,543.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,802.62 : 9,382.89 = 5,543.67 : x
2. Step 2: Convert to fraction form
   6,802.62/9,382.89 = 5,543.67/x
3. Step 3: Cross multiply
   6,802.62x = 9,382.89 × 5,543.67
4. Step 4: Simplify right side
   6,802.62x = 52,015,670.60
5. Step 5: Solve for x
   x = 52,015,670.60/6,802.62
6. Step 6: Final answer
   x = 7,646.42