Finding the Fourth Proportional to 6,815.64, 10,213.56 and 3,887.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,815.64 : 10,213.56 = 3,887.76 : x
2. Step 2: Convert to fraction form
   6,815.64/10,213.56 = 3,887.76/x
3. Step 3: Cross multiply
   6,815.64x = 10,213.56 × 3,887.76
4. Step 4: Simplify right side
   6,815.64x = 39,707,870.03
5. Step 5: Solve for x
   x = 39,707,870.03/6,815.64
6. Step 6: Final answer
   x = 5,825.99