Finding the Fourth Proportional to 10,429.57, 15,643.08 and 4,189.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.57 : 15,643.08 = 4,189.33 : x
2. Step 2: Convert to fraction form
   10,429.57/15,643.08 = 4,189.33/x
3. Step 3: Cross multiply
   10,429.57x = 15,643.08 × 4,189.33
4. Step 4: Simplify right side
   10,429.57x = 65,534,024.34
5. Step 5: Solve for x
   x = 65,534,024.34/10,429.57
6. Step 6: Final answer
   x = 6,283.48