Finding the Fourth Proportional to 9,778.94, 13,494.84 and 5,530.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.94 : 13,494.84 = 5,530.83 : x
2. Step 2: Convert to fraction form
   9,778.94/13,494.84 = 5,530.83/x
3. Step 3: Cross multiply
   9,778.94x = 13,494.84 × 5,530.83
4. Step 4: Simplify right side
   9,778.94x = 74,637,665.92
5. Step 5: Solve for x
   x = 74,637,665.92/9,778.94
6. Step 6: Final answer
   x = 7,632.49