Finding the Fourth Proportional to 9,790.66, 14,667.50 and 7,588.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,790.66 : 14,667.50 = 7,588.61 : x
2. Step 2: Convert to fraction form
   9,790.66/14,667.50 = 7,588.61/x
3. Step 3: Cross multiply
   9,790.66x = 14,667.50 × 7,588.61
4. Step 4: Simplify right side
   9,790.66x = 111,305,895.13
5. Step 5: Solve for x
   x = 111,305,895.13/9,790.66
6. Step 6: Final answer
   x = 11,368.58