Finding the Fourth Proportional to 11,548.84, 17,321.46 and 3,757.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,548.84 : 17,321.46 = 3,757.60 : x
2. Step 2: Convert to fraction form
   11,548.84/17,321.46 = 3,757.60/x
3. Step 3: Cross multiply
   11,548.84x = 17,321.46 × 3,757.60
4. Step 4: Simplify right side
   11,548.84x = 65,087,118.10
5. Step 5: Solve for x
   x = 65,087,118.10/11,548.84
6. Step 6: Final answer
   x = 5,635.81