Finding the Fourth Proportional to 6,870.67, 9,478.82 and 4,213.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870.67 : 9,478.82 = 4,213.47 : x
2. Step 2: Convert to fraction form
   6,870.67/9,478.82 = 4,213.47/x
3. Step 3: Cross multiply
   6,870.67x = 9,478.82 × 4,213.47
4. Step 4: Simplify right side
   6,870.67x = 39,938,716.47
5. Step 5: Solve for x
   x = 39,938,716.47/6,870.67
6. Step 6: Final answer
   x = 5,812.93