Finding the Fourth Proportional to 10,846.42, 16,271.32 and 3,827.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846.42 : 16,271.32 = 3,827.36 : x
2. Step 2: Convert to fraction form
   10,846.42/16,271.32 = 3,827.36/x
3. Step 3: Cross multiply
   10,846.42x = 16,271.32 × 3,827.36
4. Step 4: Simplify right side
   10,846.42x = 62,276,199.32
5. Step 5: Solve for x
   x = 62,276,199.32/10,846.42
6. Step 6: Final answer
   x = 5,741.64