Finding the Fourth Proportional to 10,397.92, 15,587.56 and 3,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.92 : 15,587.56 = 3,819.50 : x
2. Step 2: Convert to fraction form
   10,397.92/15,587.56 = 3,819.50/x
3. Step 3: Cross multiply
   10,397.92x = 15,587.56 × 3,819.50
4. Step 4: Simplify right side
   10,397.92x = 59,536,666.32
5. Step 5: Solve for x
   x = 59,536,666.32/10,397.92
6. Step 6: Final answer
   x = 5,725.83