Finding the Fourth Proportional to 6,906.78, 10,355.58 and 4,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.78 : 10,355.58 = 4,126.50 : x
2. Step 2: Convert to fraction form
   6,906.78/10,355.58 = 4,126.50/x
3. Step 3: Cross multiply
   6,906.78x = 10,355.58 × 4,126.50
4. Step 4: Simplify right side
   6,906.78x = 42,732,300.87
5. Step 5: Solve for x
   x = 42,732,300.87/6,906.78
6. Step 6: Final answer
   x = 6,187.01