Finding the Fourth Proportional to 6,300.78, 8,695.23 and 3,783

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300.78 : 8,695.23 = 3,783 : x
2. Step 2: Convert to fraction form
   6,300.78/8,695.23 = 3,783/x
3. Step 3: Cross multiply
   6,300.78x = 8,695.23 × 3,783
4. Step 4: Simplify right side
   6,300.78x = 32,894,055.09
5. Step 5: Solve for x
   x = 32,894,055.09/6,300.78
6. Step 6: Final answer
   x = 5,220.63