Finding the Fourth Proportional to 9,705.16, 14,561.39 and 5,812.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,705.16 : 14,561.39 = 5,812.30 : x
2. Step 2: Convert to fraction form
   9,705.16/14,561.39 = 5,812.30/x
3. Step 3: Cross multiply
   9,705.16x = 14,561.39 × 5,812.30
4. Step 4: Simplify right side
   9,705.16x = 84,635,167.10
5. Step 5: Solve for x
   x = 84,635,167.10/9,705.16
6. Step 6: Final answer
   x = 8,720.64