Finding the Fourth Proportional to 9,714.30, 13,405.72 and 5,465.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.30 : 13,405.72 = 5,465.37 : x
2. Step 2: Convert to fraction form
   9,714.30/13,405.72 = 5,465.37/x
3. Step 3: Cross multiply
   9,714.30x = 13,405.72 × 5,465.37
4. Step 4: Simplify right side
   9,714.30x = 73,267,125.56
5. Step 5: Solve for x
   x = 73,267,125.56/9,714.30
6. Step 6: Final answer
   x = 7,542.19