Finding the Fourth Proportional to 9,704.16, 14,559.89 and 5,811.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,704.16 : 14,559.89 = 5,811.30 : x
2. Step 2: Convert to fraction form
   9,704.16/14,559.89 = 5,811.30/x
3. Step 3: Cross multiply
   9,704.16x = 14,559.89 × 5,811.30
4. Step 4: Simplify right side
   9,704.16x = 84,611,859.70
5. Step 5: Solve for x
   x = 84,611,859.70/9,704.16
6. Step 6: Final answer
   x = 8,719.13