Finding the Fourth Proportional to 9,778.84, 13,497.78 and 7,802.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.84 : 13,497.78 = 7,802.98 : x
2. Step 2: Convert to fraction form
   9,778.84/13,497.78 = 7,802.98/x
3. Step 3: Cross multiply
   9,778.84x = 13,497.78 × 7,802.98
4. Step 4: Simplify right side
   9,778.84x = 105,322,907.38
5. Step 5: Solve for x
   x = 105,322,907.38/9,778.84
6. Step 6: Final answer
   x = 10,770.49