Finding the Fourth Proportional to 6,910.77, 9,538.00 and 4,078.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,910.77 : 9,538.00 = 4,078.83 : x
2. Step 2: Convert to fraction form
   6,910.77/9,538.00 = 4,078.83/x
3. Step 3: Cross multiply
   6,910.77x = 9,538.00 × 4,078.83
4. Step 4: Simplify right side
   6,910.77x = 38,903,876.42
5. Step 5: Solve for x
   x = 38,903,876.42/6,910.77
6. Step 6: Final answer
   x = 5,629.46