Finding the Fourth Proportional to 1,308.96, 1,962.33 and 578.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.96 : 1,962.33 = 578.14 : x
2. Step 2: Convert to fraction form
   1,308.96/1,962.33 = 578.14/x
3. Step 3: Cross multiply
   1,308.96x = 1,962.33 × 578.14
4. Step 4: Simplify right side
   1,308.96x = 1,134,494.39
5. Step 5: Solve for x
   x = 1,134,494.39/1,308.96
6. Step 6: Final answer
   x = 866.71