Finding the Fourth Proportional to 1,160.04, 1,601.34 and 828.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.04 : 1,601.34 = 828.60 : x
2. Step 2: Convert to fraction form
   1,160.04/1,601.34 = 828.60/x
3. Step 3: Cross multiply
   1,160.04x = 1,601.34 × 828.60
4. Step 4: Simplify right side
   1,160.04x = 1,326,870.32
5. Step 5: Solve for x
   x = 1,326,870.32/1,160.04
6. Step 6: Final answer
   x = 1,143.81