Finding the Fourth Proportional to 677.06, 1,010.52 and 588.82

Step by Step Solution

1. Step 1: Write the proportion equation
   677.06 : 1,010.52 = 588.82 : x
2. Step 2: Convert to fraction form
   677.06/1,010.52 = 588.82/x
3. Step 3: Cross multiply
   677.06x = 1,010.52 × 588.82
4. Step 4: Simplify right side
   677.06x = 595,014.39
5. Step 5: Solve for x
   x = 595,014.39/677.06
6. Step 6: Final answer
   x = 878.82