Finding the Fourth Proportional to 9,714.30, 13,405.58 and 5,465.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.30 : 13,405.58 = 5,465.04 : x
2. Step 2: Convert to fraction form
   9,714.30/13,405.58 = 5,465.04/x
3. Step 3: Cross multiply
   9,714.30x = 13,405.58 × 5,465.04
4. Step 4: Simplify right side
   9,714.30x = 73,262,030.92
5. Step 5: Solve for x
   x = 73,262,030.92/9,714.30
6. Step 6: Final answer
   x = 7,541.67