Finding the Fourth Proportional to 11,655, 17,478.38 and 3,757.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,655 : 17,478.38 = 3,757.20 : x
2. Step 2: Convert to fraction form
   11,655/17,478.38 = 3,757.20/x
3. Step 3: Cross multiply
   11,655x = 17,478.38 × 3,757.20
4. Step 4: Simplify right side
   11,655x = 65,669,769.34
5. Step 5: Solve for x
   x = 65,669,769.34/11,655
6. Step 6: Final answer
   x = 5,634.47