Finding the Fourth Proportional to 1,510.98, 2,261.60 and 779.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.98 : 2,261.60 = 779.55 : x
2. Step 2: Convert to fraction form
   1,510.98/2,261.60 = 779.55/x
3. Step 3: Cross multiply
   1,510.98x = 2,261.60 × 779.55
4. Step 4: Simplify right side
   1,510.98x = 1,763,030.28
5. Step 5: Solve for x
   x = 1,763,030.28/1,510.98
6. Step 6: Final answer
   x = 1,166.81