Finding the Fourth Proportional to 11,784.48, 16,255.38 and 7,804.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.48 : 16,255.38 = 7,804.14 : x
2. Step 2: Convert to fraction form
   11,784.48/16,255.38 = 7,804.14/x
3. Step 3: Cross multiply
   11,784.48x = 16,255.38 × 7,804.14
4. Step 4: Simplify right side
   11,784.48x = 126,859,261.27
5. Step 5: Solve for x
   x = 126,859,261.27/11,784.48
6. Step 6: Final answer
   x = 10,764.94