Finding the Fourth Proportional to 9,914.74, 13,682.76 and 5,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.74 : 13,682.76 = 5,666.50 : x
2. Step 2: Convert to fraction form
   9,914.74/13,682.76 = 5,666.50/x
3. Step 3: Cross multiply
   9,914.74x = 13,682.76 × 5,666.50
4. Step 4: Simplify right side
   9,914.74x = 77,533,359.54
5. Step 5: Solve for x
   x = 77,533,359.54/9,914.74
6. Step 6: Final answer
   x = 7,820.01