Finding the Fourth Proportional to 1,105.54, 1,526.49 and 828.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.54 : 1,526.49 = 828.91 : x
2. Step 2: Convert to fraction form
   1,105.54/1,526.49 = 828.91/x
3. Step 3: Cross multiply
   1,105.54x = 1,526.49 × 828.91
4. Step 4: Simplify right side
   1,105.54x = 1,265,322.83
5. Step 5: Solve for x
   x = 1,265,322.83/1,105.54
6. Step 6: Final answer
   x = 1,144.53