Finding the Fourth Proportional to 780.89, 1,164.72 and 677.35

Step by Step Solution

1. Step 1: Write the proportion equation
   780.89 : 1,164.72 = 677.35 : x
2. Step 2: Convert to fraction form
   780.89/1,164.72 = 677.35/x
3. Step 3: Cross multiply
   780.89x = 1,164.72 × 677.35
4. Step 4: Simplify right side
   780.89x = 788,916.73
5. Step 5: Solve for x
   x = 788,916.73/780.89
6. Step 6: Final answer
   x = 1,010.29