Finding the Fourth Proportional to 9,909.74, 13,675.86 and 5,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,909.74 : 13,675.86 = 5,661.50 : x
2. Step 2: Convert to fraction form
   9,909.74/13,675.86 = 5,661.50/x
3. Step 3: Cross multiply
   9,909.74x = 13,675.86 × 5,661.50
4. Step 4: Simplify right side
   9,909.74x = 77,425,881.39
5. Step 5: Solve for x
   x = 77,425,881.39/9,909.74
6. Step 6: Final answer
   x = 7,813.11