Finding the Fourth Proportional to 11,586.42, 17,382.06 and 3,794.58

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586.42 : 17,382.06 = 3,794.58 : x
2. Step 2: Convert to fraction form
   11,586.42/17,382.06 = 3,794.58/x
3. Step 3: Cross multiply
   11,586.42x = 17,382.06 × 3,794.58
4. Step 4: Simplify right side
   11,586.42x = 65,957,617.23
5. Step 5: Solve for x
   x = 65,957,617.23/11,586.42
6. Step 6: Final answer
   x = 5,692.67