Finding the Fourth Proportional to 10,434.42, 15,648.80 and 3,856.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.42 : 15,648.80 = 3,856.95 : x
2. Step 2: Convert to fraction form
   10,434.42/15,648.80 = 3,856.95/x
3. Step 3: Cross multiply
   10,434.42x = 15,648.80 × 3,856.95
4. Step 4: Simplify right side
   10,434.42x = 60,356,619.88
5. Step 5: Solve for x
   x = 60,356,619.88/10,434.42
6. Step 6: Final answer
   x = 5,784.38