Finding the Fourth Proportional to 9,645.37, 14,456.12 and 5,692.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.37 : 14,456.12 = 5,692.62 : x
2. Step 2: Convert to fraction form
   9,645.37/14,456.12 = 5,692.62/x
3. Step 3: Cross multiply
   9,645.37x = 14,456.12 × 5,692.62
4. Step 4: Simplify right side
   9,645.37x = 82,293,212.07
5. Step 5: Solve for x
   x = 82,293,212.07/9,645.37
6. Step 6: Final answer
   x = 8,531.89