Finding the Fourth Proportional to 11,663.64, 17,503.35 and 5,086.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11,663.64 : 17,503.35 = 5,086.02 : x
2. Step 2: Convert to fraction form
   11,663.64/17,503.35 = 5,086.02/x
3. Step 3: Cross multiply
   11,663.64x = 17,503.35 × 5,086.02
4. Step 4: Simplify right side
   11,663.64x = 89,022,388.17
5. Step 5: Solve for x
   x = 89,022,388.17/11,663.64
6. Step 6: Final answer
   x = 7,632.47