Finding the Fourth Proportional to 1,513.98, 2,266.10 and 782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.98 : 2,266.10 = 782.55 : x
2. Step 2: Convert to fraction form
   1,513.98/2,266.10 = 782.55/x
3. Step 3: Cross multiply
   1,513.98x = 2,266.10 × 782.55
4. Step 4: Simplify right side
   1,513.98x = 1,773,336.56
5. Step 5: Solve for x
   x = 1,773,336.56/1,513.98
6. Step 6: Final answer
   x = 1,171.31