Finding the Fourth Proportional to 9,714.29, 13,405.59 and 5,465.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.29 : 13,405.59 = 5,465.03 : x
2. Step 2: Convert to fraction form
   9,714.29/13,405.59 = 5,465.03/x
3. Step 3: Cross multiply
   9,714.29x = 13,405.59 × 5,465.03
4. Step 4: Simplify right side
   9,714.29x = 73,261,951.52
5. Step 5: Solve for x
   x = 73,261,951.52/9,714.29
6. Step 6: Final answer
   x = 7,541.67