Finding the Fourth Proportional to 9,677.96, 14,519.02 and 5,059.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.96 : 14,519.02 = 5,059.72 : x
2. Step 2: Convert to fraction form
   9,677.96/14,519.02 = 5,059.72/x
3. Step 3: Cross multiply
   9,677.96x = 14,519.02 × 5,059.72
4. Step 4: Simplify right side
   9,677.96x = 73,462,175.87
5. Step 5: Solve for x
   x = 73,462,175.87/9,677.96
6. Step 6: Final answer
   x = 7,590.67