Finding the Fourth Proportional to 6,856.48, 9,461.75 and 4,061.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856.48 : 9,461.75 = 4,061.98 : x
2. Step 2: Convert to fraction form
   6,856.48/9,461.75 = 4,061.98/x
3. Step 3: Cross multiply
   6,856.48x = 9,461.75 × 4,061.98
4. Step 4: Simplify right side
   6,856.48x = 38,433,410.53
5. Step 5: Solve for x
   x = 38,433,410.53/6,856.48
6. Step 6: Final answer
   x = 5,605.42