Finding the Fourth Proportional to 11,898.89, 17,848.46 and 5,659.53

Step by Step Solution

1. Step 1: Write the proportion equation
   11,898.89 : 17,848.46 = 5,659.53 : x
2. Step 2: Convert to fraction form
   11,898.89/17,848.46 = 5,659.53/x
3. Step 3: Cross multiply
   11,898.89x = 17,848.46 × 5,659.53
4. Step 4: Simplify right side
   11,898.89x = 101,013,951.62
5. Step 5: Solve for x
   x = 101,013,951.62/11,898.89
6. Step 6: Final answer
   x = 8,489.36