Finding the Fourth Proportional to 8,111.64, 11,197 and 5,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.64 : 11,197 = 5,129.50 : x
2. Step 2: Convert to fraction form
   8,111.64/11,197 = 5,129.50/x
3. Step 3: Cross multiply
   8,111.64x = 11,197 × 5,129.50
4. Step 4: Simplify right side
   8,111.64x = 57,435,011.50
5. Step 5: Solve for x
   x = 57,435,011.50/8,111.64
6. Step 6: Final answer
   x = 7,080.57