Finding the Fourth Proportional to 9,182.07, 12,671.34 and 5,645.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.07 : 12,671.34 = 5,645.34 : x
2. Step 2: Convert to fraction form
   9,182.07/12,671.34 = 5,645.34/x
3. Step 3: Cross multiply
   9,182.07x = 12,671.34 × 5,645.34
4. Step 4: Simplify right side
   9,182.07x = 71,534,022.56
5. Step 5: Solve for x
   x = 71,534,022.56/9,182.07
6. Step 6: Final answer
   x = 7,790.62