Finding the Fourth Proportional to 10,434.80, 15,638.34 and 3,854.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.80 : 15,638.34 = 3,854.92 : x
2. Step 2: Convert to fraction form
   10,434.80/15,638.34 = 3,854.92/x
3. Step 3: Cross multiply
   10,434.80x = 15,638.34 × 3,854.92
4. Step 4: Simplify right side
   10,434.80x = 60,284,549.63
5. Step 5: Solve for x
   x = 60,284,549.63/10,434.80
6. Step 6: Final answer
   x = 5,777.26