Finding the Fourth Proportional to 9,641.52, 14,456.88 and 3,796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.52 : 14,456.88 = 3,796.56 : x
2. Step 2: Convert to fraction form
   9,641.52/14,456.88 = 3,796.56/x
3. Step 3: Cross multiply
   9,641.52x = 14,456.88 × 3,796.56
4. Step 4: Simplify right side
   9,641.52x = 54,886,412.33
5. Step 5: Solve for x
   x = 54,886,412.33/9,641.52
6. Step 6: Final answer
   x = 5,692.71