Finding the Fourth Proportional to 12,830.81, 17,705.99 and 7,165.46

Step by Step Solution

1. Step 1: Write the proportion equation
   12,830.81 : 17,705.99 = 7,165.46 : x
2. Step 2: Convert to fraction form
   12,830.81/17,705.99 = 7,165.46/x
3. Step 3: Cross multiply
   12,830.81x = 17,705.99 × 7,165.46
4. Step 4: Simplify right side
   12,830.81x = 126,871,625.28
5. Step 5: Solve for x
   x = 126,871,625.28/12,830.81
6. Step 6: Final answer
   x = 9,888.05