Finding the Fourth Proportional to 2,116.71, 3,175.81 and 946.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.71 : 3,175.81 = 946.61 : x
2. Step 2: Convert to fraction form
   2,116.71/3,175.81 = 946.61/x
3. Step 3: Cross multiply
   2,116.71x = 3,175.81 × 946.61
4. Step 4: Simplify right side
   2,116.71x = 3,006,253.50
5. Step 5: Solve for x
   x = 3,006,253.50/2,116.71
6. Step 6: Final answer
   x = 1,420.25