Finding the Fourth Proportional to 2,762.50, 3,812.25 and 1,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,762.50 : 3,812.25 = 1,520.50 : x
2. Step 2: Convert to fraction form
   2,762.50/3,812.25 = 1,520.50/x
3. Step 3: Cross multiply
   2,762.50x = 3,812.25 × 1,520.50
4. Step 4: Simplify right side
   2,762.50x = 5,796,526.13
5. Step 5: Solve for x
   x = 5,796,526.13/2,762.50
6. Step 6: Final answer
   x = 2,098.29