Finding the Fourth Proportional to 6,476.76, 8,942.00 and 5,137.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,476.76 : 8,942.00 = 5,137.83 : x
2. Step 2: Convert to fraction form
   6,476.76/8,942.00 = 5,137.83/x
3. Step 3: Cross multiply
   6,476.76x = 8,942.00 × 5,137.83
4. Step 4: Simplify right side
   6,476.76x = 45,942,450.17
5. Step 5: Solve for x
   x = 45,942,450.17/6,476.76
6. Step 6: Final answer
   x = 7,093.43