Finding the Fourth Proportional to 10,397.63, 15,595.96 and 3,823.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,397.63 : 15,595.96 = 3,823.34 : x
2. Step 2: Convert to fraction form
   10,397.63/15,595.96 = 3,823.34/x
3. Step 3: Cross multiply
   10,397.63x = 15,595.96 × 3,823.34
4. Step 4: Simplify right side
   10,397.63x = 59,628,657.71
5. Step 5: Solve for x
   x = 59,628,657.71/10,397.63
6. Step 6: Final answer
   x = 5,734.83