Finding the Fourth Proportional to 1,525.77, 2,105.52 and 827.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.77 : 2,105.52 = 827.13 : x
2. Step 2: Convert to fraction form
   1,525.77/2,105.52 = 827.13/x
3. Step 3: Cross multiply
   1,525.77x = 2,105.52 × 827.13
4. Step 4: Simplify right side
   1,525.77x = 1,741,538.76
5. Step 5: Solve for x
   x = 1,741,538.76/1,525.77
6. Step 6: Final answer
   x = 1,141.42