Finding the Fourth Proportional to 11,783.56, 16,261.64 and 6,478.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,783.56 : 16,261.64 = 6,478.72 : x
2. Step 2: Convert to fraction form
   11,783.56/16,261.64 = 6,478.72/x
3. Step 3: Cross multiply
   11,783.56x = 16,261.64 × 6,478.72
4. Step 4: Simplify right side
   11,783.56x = 105,354,612.30
5. Step 5: Solve for x
   x = 105,354,612.30/11,783.56
6. Step 6: Final answer
   x = 8,940.81