Finding the Fourth Proportional to 9,645.82, 13,308.79 and 5,666.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.82 : 13,308.79 = 5,666.16 : x
2. Step 2: Convert to fraction form
   9,645.82/13,308.79 = 5,666.16/x
3. Step 3: Cross multiply
   9,645.82x = 13,308.79 × 5,666.16
4. Step 4: Simplify right side
   9,645.82x = 75,409,733.55
5. Step 5: Solve for x
   x = 75,409,733.55/9,645.82
6. Step 6: Final answer
   x = 7,817.87