Finding the Fourth Proportional to 2,600.56, 3,588.61 and 1,421.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600.56 : 3,588.61 = 1,421.63 : x
2. Step 2: Convert to fraction form
   2,600.56/3,588.61 = 1,421.63/x
3. Step 3: Cross multiply
   2,600.56x = 3,588.61 × 1,421.63
4. Step 4: Simplify right side
   2,600.56x = 5,101,675.63
5. Step 5: Solve for x
   x = 5,101,675.63/2,600.56
6. Step 6: Final answer
   x = 1,961.76