Finding the Fourth Proportional to 9,645.02, 13,314.43 and 5,666.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.02 : 13,314.43 = 5,666.39 : x
2. Step 2: Convert to fraction form
   9,645.02/13,314.43 = 5,666.39/x
3. Step 3: Cross multiply
   9,645.02x = 13,314.43 × 5,666.39
4. Step 4: Simplify right side
   9,645.02x = 75,444,672.27
5. Step 5: Solve for x
   x = 75,444,672.27/9,645.02
6. Step 6: Final answer
   x = 7,822.14