Finding the Fourth Proportional to 1,096.84, 1,646.53 and 866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.84 : 1,646.53 = 866.50 : x
2. Step 2: Convert to fraction form
   1,096.84/1,646.53 = 866.50/x
3. Step 3: Cross multiply
   1,096.84x = 1,646.53 × 866.50
4. Step 4: Simplify right side
   1,096.84x = 1,426,711.96
5. Step 5: Solve for x
   x = 1,426,711.96/1,096.84
6. Step 6: Final answer
   x = 1,300.75