Finding the Fourth Proportional to 9,796.93, 14,667.99 and 5,106.67

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796.93 : 14,667.99 = 5,106.67 : x
2. Step 2: Convert to fraction form
   9,796.93/14,667.99 = 5,106.67/x
3. Step 3: Cross multiply
   9,796.93x = 14,667.99 × 5,106.67
4. Step 4: Simplify right side
   9,796.93x = 74,904,584.49
5. Step 5: Solve for x
   x = 74,904,584.49/9,796.93
6. Step 6: Final answer
   x = 7,645.72