Finding the Fourth Proportional to 1,093.50, 1,504.71 and 830.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,093.50 : 1,504.71 = 830.46 : x
2. Step 2: Convert to fraction form
   1,093.50/1,504.71 = 830.46/x
3. Step 3: Cross multiply
   1,093.50x = 1,504.71 × 830.46
4. Step 4: Simplify right side
   1,093.50x = 1,249,601.47
5. Step 5: Solve for x
   x = 1,249,601.47/1,093.50
6. Step 6: Final answer
   x = 1,142.75