Finding the Fourth Proportional to 2,646.63, 3,647.03 and 1,978.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.63 : 3,647.03 = 1,978.65 : x
2. Step 2: Convert to fraction form
   2,646.63/3,647.03 = 1,978.65/x
3. Step 3: Cross multiply
   2,646.63x = 3,647.03 × 1,978.65
4. Step 4: Simplify right side
   2,646.63x = 7,216,186.02
5. Step 5: Solve for x
   x = 7,216,186.02/2,646.63
6. Step 6: Final answer
   x = 2,726.56