Finding the Fourth Proportional to 9,714.96, 13,403.18 and 5,734.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.96 : 13,403.18 = 5,734.08 : x
2. Step 2: Convert to fraction form
   9,714.96/13,403.18 = 5,734.08/x
3. Step 3: Cross multiply
   9,714.96x = 13,403.18 × 5,734.08
4. Step 4: Simplify right side
   9,714.96x = 76,854,906.37
5. Step 5: Solve for x
   x = 76,854,906.37/9,714.96
6. Step 6: Final answer
   x = 7,910.99