Finding the Fourth Proportional to 1,355.52, 1,868.56 and 830.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.52 : 1,868.56 = 830.64 : x
2. Step 2: Convert to fraction form
   1,355.52/1,868.56 = 830.64/x
3. Step 3: Cross multiply
   1,355.52x = 1,868.56 × 830.64
4. Step 4: Simplify right side
   1,355.52x = 1,552,100.68
5. Step 5: Solve for x
   x = 1,552,100.68/1,355.52
6. Step 6: Final answer
   x = 1,145.02