Finding the Fourth Proportional to 9,589.58, 14,366.54 and 5,210.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.58 : 14,366.54 = 5,210.72 : x
2. Step 2: Convert to fraction form
   9,589.58/14,366.54 = 5,210.72/x
3. Step 3: Cross multiply
   9,589.58x = 14,366.54 × 5,210.72
4. Step 4: Simplify right side
   9,589.58x = 74,859,958.50
5. Step 5: Solve for x
   x = 74,859,958.50/9,589.58
6. Step 6: Final answer
   x = 7,806.39