Finding the Fourth Proportional to 5,653.05, 7,807.59 and 3,857.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,653.05 : 7,807.59 = 3,857.45 : x
2. Step 2: Convert to fraction form
   5,653.05/7,807.59 = 3,857.45/x
3. Step 3: Cross multiply
   5,653.05x = 7,807.59 × 3,857.45
4. Step 4: Simplify right side
   5,653.05x = 30,117,422.03
5. Step 5: Solve for x
   x = 30,117,422.03/5,653.05
6. Step 6: Final answer
   x = 5,327.64