Finding the Fourth Proportional to 10,826.40, 16,238.16 and 4,588.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826.40 : 16,238.16 = 4,588.86 : x
2. Step 2: Convert to fraction form
   10,826.40/16,238.16 = 4,588.86/x
3. Step 3: Cross multiply
   10,826.40x = 16,238.16 × 4,588.86
4. Step 4: Simplify right side
   10,826.40x = 74,514,642.90
5. Step 5: Solve for x
   x = 74,514,642.90/10,826.40
6. Step 6: Final answer
   x = 6,882.68