Finding the Fourth Proportional to 2,569.55, 3,856.51 and 1,010.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.55 : 3,856.51 = 1,010.64 : x
2. Step 2: Convert to fraction form
   2,569.55/3,856.51 = 1,010.64/x
3. Step 3: Cross multiply
   2,569.55x = 3,856.51 × 1,010.64
4. Step 4: Simplify right side
   2,569.55x = 3,897,543.27
5. Step 5: Solve for x
   x = 3,897,543.27/2,569.55
6. Step 6: Final answer
   x = 1,516.82