Finding the Fourth Proportional to 11,884.78, 17,828.88 and 4,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,884.78 : 17,828.88 = 4,091.50 : x
2. Step 2: Convert to fraction form
   11,884.78/17,828.88 = 4,091.50/x
3. Step 3: Cross multiply
   11,884.78x = 17,828.88 × 4,091.50
4. Step 4: Simplify right side
   11,884.78x = 72,946,862.52
5. Step 5: Solve for x
   x = 72,946,862.52/11,884.78
6. Step 6: Final answer
   x = 6,137.84