Finding the Fourth Proportional to 1,308.29, 1,962.52 and 577.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.29 : 1,962.52 = 577.86 : x
2. Step 2: Convert to fraction form
   1,308.29/1,962.52 = 577.86/x
3. Step 3: Cross multiply
   1,308.29x = 1,962.52 × 577.86
4. Step 4: Simplify right side
   1,308.29x = 1,134,067.21
5. Step 5: Solve for x
   x = 1,134,067.21/1,308.29
6. Step 6: Final answer
   x = 866.83