Finding the Fourth Proportional to 9,778.05, 14,648.31 and 7,807.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.05 : 14,648.31 = 7,807.59 : x
2. Step 2: Convert to fraction form
   9,778.05/14,648.31 = 7,807.59/x
3. Step 3: Cross multiply
   9,778.05x = 14,648.31 × 7,807.59
4. Step 4: Simplify right side
   9,778.05x = 114,367,998.67
5. Step 5: Solve for x
   x = 114,367,998.67/9,778.05
6. Step 6: Final answer
   x = 11,696.40