Finding the Fourth Proportional to 11,655.56, 17,483.76 and 3,864.17

Step by Step Solution

1. Step 1: Write the proportion equation
   11,655.56 : 17,483.76 = 3,864.17 : x
2. Step 2: Convert to fraction form
   11,655.56/17,483.76 = 3,864.17/x
3. Step 3: Cross multiply
   11,655.56x = 17,483.76 × 3,864.17
4. Step 4: Simplify right side
   11,655.56x = 67,560,264.59
5. Step 5: Solve for x
   x = 67,560,264.59/11,655.56
6. Step 6: Final answer
   x = 5,796.40