Finding the Fourth Proportional to 1,099.34, 1,516.83 and 804.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.34 : 1,516.83 = 804.10 : x
2. Step 2: Convert to fraction form
   1,099.34/1,516.83 = 804.10/x
3. Step 3: Cross multiply
   1,099.34x = 1,516.83 × 804.10
4. Step 4: Simplify right side
   1,099.34x = 1,219,675.42
5. Step 5: Solve for x
   x = 1,219,675.42/1,099.34
6. Step 6: Final answer
   x = 1,109.46