Finding the Fourth Proportional to 6,405.42, 9,617.16 and 3,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405.42 : 9,617.16 = 3,637.50 : x
2. Step 2: Convert to fraction form
   6,405.42/9,617.16 = 3,637.50/x
3. Step 3: Cross multiply
   6,405.42x = 9,617.16 × 3,637.50
4. Step 4: Simplify right side
   6,405.42x = 34,982,419.50
5. Step 5: Solve for x
   x = 34,982,419.50/6,405.42
6. Step 6: Final answer
   x = 5,461.38