Finding the Fourth Proportional to 2,969.50, 4,098.27 and 1,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969.50 : 4,098.27 = 1,727.50 : x
2. Step 2: Convert to fraction form
   2,969.50/4,098.27 = 1,727.50/x
3. Step 3: Cross multiply
   2,969.50x = 4,098.27 × 1,727.50
4. Step 4: Simplify right side
   2,969.50x = 7,079,761.43
5. Step 5: Solve for x
   x = 7,079,761.43/2,969.50
6. Step 6: Final answer
   x = 2,384.16