Finding the Fourth Proportional to 9,498.13, 13,107.06 and 5,465.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.13 : 13,107.06 = 5,465.58 : x
2. Step 2: Convert to fraction form
   9,498.13/13,107.06 = 5,465.58/x
3. Step 3: Cross multiply
   9,498.13x = 13,107.06 × 5,465.58
4. Step 4: Simplify right side
   9,498.13x = 71,637,609.21
5. Step 5: Solve for x
   x = 71,637,609.21/9,498.13
6. Step 6: Final answer
   x = 7,542.29