Finding the Fourth Proportional to 10,498.82, 15,734.05 and 5,742.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.82 : 15,734.05 = 5,742.70 : x
2. Step 2: Convert to fraction form
   10,498.82/15,734.05 = 5,742.70/x
3. Step 3: Cross multiply
   10,498.82x = 15,734.05 × 5,742.70
4. Step 4: Simplify right side
   10,498.82x = 90,355,875.24
5. Step 5: Solve for x
   x = 90,355,875.24/10,498.82
6. Step 6: Final answer
   x = 8,606.29