Finding the Fourth Proportional to 9,714.02, 13,405.33 and 5,465.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.02 : 13,405.33 = 5,465.08 : x
2. Step 2: Convert to fraction form
   9,714.02/13,405.33 = 5,465.08/x
3. Step 3: Cross multiply
   9,714.02x = 13,405.33 × 5,465.08
4. Step 4: Simplify right side
   9,714.02x = 73,261,200.88
5. Step 5: Solve for x
   x = 73,261,200.88/9,714.02
6. Step 6: Final answer
   x = 7,541.80