Finding the Fourth Proportional to 2,562.50, 3,838.29 and 1,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.50 : 3,838.29 = 1,946.50 : x
2. Step 2: Convert to fraction form
   2,562.50/3,838.29 = 1,946.50/x
3. Step 3: Cross multiply
   2,562.50x = 3,838.29 × 1,946.50
4. Step 4: Simplify right side
   2,562.50x = 7,471,214.59
5. Step 5: Solve for x
   x = 7,471,214.59/2,562.50
6. Step 6: Final answer
   x = 2,915.59