Finding the Fourth Proportional to 1,678.86, 2,315.25 and 1,304.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.86 : 2,315.25 = 1,304.64 : x
2. Step 2: Convert to fraction form
   1,678.86/2,315.25 = 1,304.64/x
3. Step 3: Cross multiply
   1,678.86x = 2,315.25 × 1,304.64
4. Step 4: Simplify right side
   1,678.86x = 3,020,567.76
5. Step 5: Solve for x
   x = 3,020,567.76/1,678.86
6. Step 6: Final answer
   x = 1,799.18