Finding the Fourth Proportional to 9,645.33, 14,456.07 and 5,692.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,645.33 : 14,456.07 = 5,692.59 : x
2. Step 2: Convert to fraction form
   9,645.33/14,456.07 = 5,692.59/x
3. Step 3: Cross multiply
   9,645.33x = 14,456.07 × 5,692.59
4. Step 4: Simplify right side
   9,645.33x = 82,292,479.52
5. Step 5: Solve for x
   x = 82,292,479.52/9,645.33
6. Step 6: Final answer
   x = 8,531.85