Finding the Fourth Proportional to 1,100.85, 1,516.61 and 768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.85 : 1,516.61 = 768.69 : x
2. Step 2: Convert to fraction form
   1,100.85/1,516.61 = 768.69/x
3. Step 3: Cross multiply
   1,100.85x = 1,516.61 × 768.69
4. Step 4: Simplify right side
   1,100.85x = 1,165,802.94
5. Step 5: Solve for x
   x = 1,165,802.94/1,100.85
6. Step 6: Final answer
   x = 1,059.00