Finding the Fourth Proportional to 6,827.77, 10,238.23 and 3,315.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,827.77 : 10,238.23 = 3,315.58 : x
2. Step 2: Convert to fraction form
   6,827.77/10,238.23 = 3,315.58/x
3. Step 3: Cross multiply
   6,827.77x = 10,238.23 × 3,315.58
4. Step 4: Simplify right side
   6,827.77x = 33,945,649.17
5. Step 5: Solve for x
   x = 33,945,649.17/6,827.77
6. Step 6: Final answer
   x = 4,971.70