Finding the Fourth Proportional to 9,890.82, 14,817.60 and 7,688.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,890.82 : 14,817.60 = 7,688.84 : x
2. Step 2: Convert to fraction form
   9,890.82/14,817.60 = 7,688.84/x
3. Step 3: Cross multiply
   9,890.82x = 14,817.60 × 7,688.84
4. Step 4: Simplify right side
   9,890.82x = 113,930,081.50
5. Step 5: Solve for x
   x = 113,930,081.50/9,890.82
6. Step 6: Final answer
   x = 11,518.77