Finding the Fourth Proportional to 1,019.98, 1,530.51 and 777.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.98 : 1,530.51 = 777.97 : x
2. Step 2: Convert to fraction form
   1,019.98/1,530.51 = 777.97/x
3. Step 3: Cross multiply
   1,019.98x = 1,530.51 × 777.97
4. Step 4: Simplify right side
   1,019.98x = 1,190,690.86
5. Step 5: Solve for x
   x = 1,190,690.86/1,019.98
6. Step 6: Final answer
   x = 1,167.37