Finding the Fourth Proportional to 10,435.82, 15,649.62 and 3,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,435.82 : 15,649.62 = 3,857.50 : x
2. Step 2: Convert to fraction form
   10,435.82/15,649.62 = 3,857.50/x
3. Step 3: Cross multiply
   10,435.82x = 15,649.62 × 3,857.50
4. Step 4: Simplify right side
   10,435.82x = 60,368,409.15
5. Step 5: Solve for x
   x = 60,368,409.15/10,435.82
6. Step 6: Final answer
   x = 5,784.73