Finding the Fourth Proportional to 10,427.09, 15,641.58 and 3,406.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,427.09 : 15,641.58 = 3,406.82 : x
2. Step 2: Convert to fraction form
   10,427.09/15,641.58 = 3,406.82/x
3. Step 3: Cross multiply
   10,427.09x = 15,641.58 × 3,406.82
4. Step 4: Simplify right side
   10,427.09x = 53,287,969.37
5. Step 5: Solve for x
   x = 53,287,969.37/10,427.09
6. Step 6: Final answer
   x = 5,110.53