Finding the Fourth Proportional to 8,648.81, 12,959.94 and 5,827.13

Step by Step Solution

1. Step 1: Write the proportion equation
   8,648.81 : 12,959.94 = 5,827.13 : x
2. Step 2: Convert to fraction form
   8,648.81/12,959.94 = 5,827.13/x
3. Step 3: Cross multiply
   8,648.81x = 12,959.94 × 5,827.13
4. Step 4: Simplify right side
   8,648.81x = 75,519,255.17
5. Step 5: Solve for x
   x = 75,519,255.17/8,648.81
6. Step 6: Final answer
   x = 8,731.75