Finding the Fourth Proportional to 7,882.63, 11,815.96 and 5,111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,882.63 : 11,815.96 = 5,111.06 : x
2. Step 2: Convert to fraction form
   7,882.63/11,815.96 = 5,111.06/x
3. Step 3: Cross multiply
   7,882.63x = 11,815.96 × 5,111.06
4. Step 4: Simplify right side
   7,882.63x = 60,392,080.52
5. Step 5: Solve for x
   x = 60,392,080.52/7,882.63
6. Step 6: Final answer
   x = 7,661.41