Finding the Fourth Proportional to 11,906.42, 17,859.54 and 3,586.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,906.42 : 17,859.54 = 3,586.10 : x
2. Step 2: Convert to fraction form
   11,906.42/17,859.54 = 3,586.10/x
3. Step 3: Cross multiply
   11,906.42x = 17,859.54 × 3,586.10
4. Step 4: Simplify right side
   11,906.42x = 64,046,096.39
5. Step 5: Solve for x
   x = 64,046,096.39/11,906.42
6. Step 6: Final answer
   x = 5,379.12