Finding the Fourth Proportional to 9,714.51, 13,404.38 and 5,734.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.51 : 13,404.38 = 5,734.17 : x
2. Step 2: Convert to fraction form
   9,714.51/13,404.38 = 5,734.17/x
3. Step 3: Cross multiply
   9,714.51x = 13,404.38 × 5,734.17
4. Step 4: Simplify right side
   9,714.51x = 76,862,964.99
5. Step 5: Solve for x
   x = 76,862,964.99/9,714.51
6. Step 6: Final answer
   x = 7,912.18