Finding the Fourth Proportional to 1,096.92, 1,513.98 and 782.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.92 : 1,513.98 = 782.60 : x
2. Step 2: Convert to fraction form
   1,096.92/1,513.98 = 782.60/x
3. Step 3: Cross multiply
   1,096.92x = 1,513.98 × 782.60
4. Step 4: Simplify right side
   1,096.92x = 1,184,840.75
5. Step 5: Solve for x
   x = 1,184,840.75/1,096.92
6. Step 6: Final answer
   x = 1,080.15