Finding the Fourth Proportional to 9,861.33, 14,796.33 and 5,180.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,861.33 : 14,796.33 = 5,180.25 : x
2. Step 2: Convert to fraction form
   9,861.33/14,796.33 = 5,180.25/x
3. Step 3: Cross multiply
   9,861.33x = 14,796.33 × 5,180.25
4. Step 4: Simplify right side
   9,861.33x = 76,648,669.06
5. Step 5: Solve for x
   x = 76,648,669.06/9,861.33
6. Step 6: Final answer
   x = 7,772.65