Finding the Fourth Proportional to 1,380.24, 2,070.56 and 649.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.24 : 2,070.56 = 649.82 : x
2. Step 2: Convert to fraction form
   1,380.24/2,070.56 = 649.82/x
3. Step 3: Cross multiply
   1,380.24x = 2,070.56 × 649.82
4. Step 4: Simplify right side
   1,380.24x = 1,345,498.10
5. Step 5: Solve for x
   x = 1,345,498.10/1,380.24
6. Step 6: Final answer
   x = 974.83