Finding the Fourth Proportional to 2,407.80, 3,615.82 and 1,314.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.80 : 3,615.82 = 1,314.30 : x
2. Step 2: Convert to fraction form
   2,407.80/3,615.82 = 1,314.30/x
3. Step 3: Cross multiply
   2,407.80x = 3,615.82 × 1,314.30
4. Step 4: Simplify right side
   2,407.80x = 4,752,272.23
5. Step 5: Solve for x
   x = 4,752,272.23/2,407.80
6. Step 6: Final answer
   x = 1,973.70