Finding the Fourth Proportional to 11,665.53, 17,494.50 and 3,872.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.53 : 17,494.50 = 3,872.25 : x
2. Step 2: Convert to fraction form
   11,665.53/17,494.50 = 3,872.25/x
3. Step 3: Cross multiply
   11,665.53x = 17,494.50 × 3,872.25
4. Step 4: Simplify right side
   11,665.53x = 67,743,077.63
5. Step 5: Solve for x
   x = 67,743,077.63/11,665.53
6. Step 6: Final answer
   x = 5,807.12