Finding the Fourth Proportional to 9,778.80, 14,676.06 and 5,100.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.80 : 14,676.06 = 5,100.24 : x
2. Step 2: Convert to fraction form
   9,778.80/14,676.06 = 5,100.24/x
3. Step 3: Cross multiply
   9,778.80x = 14,676.06 × 5,100.24
4. Step 4: Simplify right side
   9,778.80x = 74,851,428.25
5. Step 5: Solve for x
   x = 74,851,428.25/9,778.80
6. Step 6: Final answer
   x = 7,654.46