Finding the Fourth Proportional to 1,097.15, 1,513.82 and 765.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.15 : 1,513.82 = 765.45 : x
2. Step 2: Convert to fraction form
   1,097.15/1,513.82 = 765.45/x
3. Step 3: Cross multiply
   1,097.15x = 1,513.82 × 765.45
4. Step 4: Simplify right side
   1,097.15x = 1,158,749.69
5. Step 5: Solve for x
   x = 1,158,749.69/1,097.15
6. Step 6: Final answer
   x = 1,056.15