Finding the Fourth Proportional to 2,562.56, 3,538.40 and 2,090.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.56 : 3,538.40 = 2,090.52 : x
2. Step 2: Convert to fraction form
   2,562.56/3,538.40 = 2,090.52/x
3. Step 3: Cross multiply
   2,562.56x = 3,538.40 × 2,090.52
4. Step 4: Simplify right side
   2,562.56x = 7,397,095.97
5. Step 5: Solve for x
   x = 7,397,095.97/2,562.56
6. Step 6: Final answer
   x = 2,886.60