Finding the Fourth Proportional to 2,566.31, 3,849.51 and 1,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.31 : 3,849.51 = 1,512.50 : x
2. Step 2: Convert to fraction form
   2,566.31/3,849.51 = 1,512.50/x
3. Step 3: Cross multiply
   2,566.31x = 3,849.51 × 1,512.50
4. Step 4: Simplify right side
   2,566.31x = 5,822,364.63
5. Step 5: Solve for x
   x = 5,822,364.63/2,566.31
6. Step 6: Final answer
   x = 2,268.77