Finding the Fourth Proportional to 1,678.67, 2,516.61 and 800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,678.67 : 2,516.61 = 800.69 : x
2. Step 2: Convert to fraction form
   1,678.67/2,516.61 = 800.69/x
3. Step 3: Cross multiply
   1,678.67x = 2,516.61 × 800.69
4. Step 4: Simplify right side
   1,678.67x = 2,015,024.46
5. Step 5: Solve for x
   x = 2,015,024.46/1,678.67
6. Step 6: Final answer
   x = 1,200.37