Finding the Fourth Proportional to 2,572.75, 3,856.47 and 1,012.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,572.75 : 3,856.47 = 1,012.12 : x
2. Step 2: Convert to fraction form
   2,572.75/3,856.47 = 1,012.12/x
3. Step 3: Cross multiply
   2,572.75x = 3,856.47 × 1,012.12
4. Step 4: Simplify right side
   2,572.75x = 3,903,214.94
5. Step 5: Solve for x
   x = 3,903,214.94/2,572.75
6. Step 6: Final answer
   x = 1,517.14