Finding the Fourth Proportional to 9,667.80, 14,493.33 and 5,764.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,667.80 : 14,493.33 = 5,764.01 : x
2. Step 2: Convert to fraction form
   9,667.80/14,493.33 = 5,764.01/x
3. Step 3: Cross multiply
   9,667.80x = 14,493.33 × 5,764.01
4. Step 4: Simplify right side
   9,667.80x = 83,539,626.59
5. Step 5: Solve for x
   x = 83,539,626.59/9,667.80
6. Step 6: Final answer
   x = 8,641.02