Finding the Fourth Proportional to 9,910.74, 13,677.24 and 5,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,910.74 : 13,677.24 = 5,662.50 : x
2. Step 2: Convert to fraction form
   9,910.74/13,677.24 = 5,662.50/x
3. Step 3: Cross multiply
   9,910.74x = 13,677.24 × 5,662.50
4. Step 4: Simplify right side
   9,910.74x = 77,447,371.50
5. Step 5: Solve for x
   x = 77,447,371.50/9,910.74
6. Step 6: Final answer
   x = 7,814.49