Finding the Fourth Proportional to 9,677.56, 14,518.52 and 5,292.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.56 : 14,518.52 = 5,292.76 : x
2. Step 2: Convert to fraction form
   9,677.56/14,518.52 = 5,292.76/x
3. Step 3: Cross multiply
   9,677.56x = 14,518.52 × 5,292.76
4. Step 4: Simplify right side
   9,677.56x = 76,843,041.92
5. Step 5: Solve for x
   x = 76,843,041.92/9,677.56
6. Step 6: Final answer
   x = 7,940.33