Finding the Fourth Proportional to 11,815.68, 17,734.50 and 5,976.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,815.68 : 17,734.50 = 5,976.42 : x
2. Step 2: Convert to fraction form
   11,815.68/17,734.50 = 5,976.42/x
3. Step 3: Cross multiply
   11,815.68x = 17,734.50 × 5,976.42
4. Step 4: Simplify right side
   11,815.68x = 105,988,820.49
5. Step 5: Solve for x
   x = 105,988,820.49/11,815.68
6. Step 6: Final answer
   x = 8,970.18