Finding the Fourth Proportional to 6,460.30, 9,690.72 and 3,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.30 : 9,690.72 = 3,857.50 : x
2. Step 2: Convert to fraction form
   6,460.30/9,690.72 = 3,857.50/x
3. Step 3: Cross multiply
   6,460.30x = 9,690.72 × 3,857.50
4. Step 4: Simplify right side
   6,460.30x = 37,381,952.40
5. Step 5: Solve for x
   x = 37,381,952.40/6,460.30
6. Step 6: Final answer
   x = 5,786.41