Finding the Fourth Proportional to 10,429.82, 15,645.42 and 4,189.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.82 : 15,645.42 = 4,189.02 : x
2. Step 2: Convert to fraction form
   10,429.82/15,645.42 = 4,189.02/x
3. Step 3: Cross multiply
   10,429.82x = 15,645.42 × 4,189.02
4. Step 4: Simplify right side
   10,429.82x = 65,538,977.29
5. Step 5: Solve for x
   x = 65,538,977.29/10,429.82
6. Step 6: Final answer
   x = 6,283.81