Finding the Fourth Proportional to 11,686.83, 17,536.37 and 5,117.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686.83 : 17,536.37 = 5,117.60 : x
2. Step 2: Convert to fraction form
   11,686.83/17,536.37 = 5,117.60/x
3. Step 3: Cross multiply
   11,686.83x = 17,536.37 × 5,117.60
4. Step 4: Simplify right side
   11,686.83x = 89,744,013.84
5. Step 5: Solve for x
   x = 89,744,013.84/11,686.83
6. Step 6: Final answer
   x = 7,679.07