Finding the Fourth Proportional to 2,563.48, 3,538.05 and 1,486.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.48 : 3,538.05 = 1,486.60 : x
2. Step 2: Convert to fraction form
   2,563.48/3,538.05 = 1,486.60/x
3. Step 3: Cross multiply
   2,563.48x = 3,538.05 × 1,486.60
4. Step 4: Simplify right side
   2,563.48x = 5,259,665.13
5. Step 5: Solve for x
   x = 5,259,665.13/2,563.48
6. Step 6: Final answer
   x = 2,051.77