Finding the Fourth Proportional to 2,772.50, 3,826.05 and 1,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.50 : 3,826.05 = 1,530.50 : x
2. Step 2: Convert to fraction form
   2,772.50/3,826.05 = 1,530.50/x
3. Step 3: Cross multiply
   2,772.50x = 3,826.05 × 1,530.50
4. Step 4: Simplify right side
   2,772.50x = 5,855,769.53
5. Step 5: Solve for x
   x = 5,855,769.53/2,772.50
6. Step 6: Final answer
   x = 2,112.09