Finding the Fourth Proportional to 9,262.76, 12,783.83 and 5,678.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,262.76 : 12,783.83 = 5,678.10 : x
2. Step 2: Convert to fraction form
   9,262.76/12,783.83 = 5,678.10/x
3. Step 3: Cross multiply
   9,262.76x = 12,783.83 × 5,678.10
4. Step 4: Simplify right side
   9,262.76x = 72,587,836.73
5. Step 5: Solve for x
   x = 72,587,836.73/9,262.76
6. Step 6: Final answer
   x = 7,836.53