Finding the Fourth Proportional to 6,884.64, 9,499.32 and 3,900.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,884.64 : 9,499.32 = 3,900.24 : x
2. Step 2: Convert to fraction form
   6,884.64/9,499.32 = 3,900.24/x
3. Step 3: Cross multiply
   6,884.64x = 9,499.32 × 3,900.24
4. Step 4: Simplify right side
   6,884.64x = 37,049,627.84
5. Step 5: Solve for x
   x = 37,049,627.84/6,884.64
6. Step 6: Final answer
   x = 5,381.49