Finding the Fourth Proportional to 9,701.21, 13,385.33 and 5,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,701.21 : 13,385.33 = 5,665.75 : x
2. Step 2: Convert to fraction form
   9,701.21/13,385.33 = 5,665.75/x
3. Step 3: Cross multiply
   9,701.21x = 13,385.33 × 5,665.75
4. Step 4: Simplify right side
   9,701.21x = 75,837,914.15
5. Step 5: Solve for x
   x = 75,837,914.15/9,701.21
6. Step 6: Final answer
   x = 7,817.37