Finding the Fourth Proportional to 2,584, 3,561.58 and 1,978.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584 : 3,561.58 = 1,978.13 : x
2. Step 2: Convert to fraction form
   2,584/3,561.58 = 1,978.13/x
3. Step 3: Cross multiply
   2,584x = 3,561.58 × 1,978.13
4. Step 4: Simplify right side
   2,584x = 7,045,268.25
5. Step 5: Solve for x
   x = 7,045,268.25/2,584
6. Step 6: Final answer
   x = 2,726.50