Finding the Fourth Proportional to 12,820.16, 17,665.56 and 9,457.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820.16 : 17,665.56 = 9,457.64 : x
2. Step 2: Convert to fraction form
   12,820.16/17,665.56 = 9,457.64/x
3. Step 3: Cross multiply
   12,820.16x = 17,665.56 × 9,457.64
4. Step 4: Simplify right side
   12,820.16x = 167,074,506.88
5. Step 5: Solve for x
   x = 167,074,506.88/12,820.16
6. Step 6: Final answer
   x = 13,032.17