Finding the Fourth Proportional to 1,200.24, 1,655.19 and 978.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.24 : 1,655.19 = 978.82 : x
2. Step 2: Convert to fraction form
   1,200.24/1,655.19 = 978.82/x
3. Step 3: Cross multiply
   1,200.24x = 1,655.19 × 978.82
4. Step 4: Simplify right side
   1,200.24x = 1,620,128.94
5. Step 5: Solve for x
   x = 1,620,128.94/1,200.24
6. Step 6: Final answer
   x = 1,349.84