Finding the Fourth Proportional to 1,525.99, 2,105.86 and 827.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.99 : 2,105.86 = 827.37 : x
2. Step 2: Convert to fraction form
   1,525.99/2,105.86 = 827.37/x
3. Step 3: Cross multiply
   1,525.99x = 2,105.86 × 827.37
4. Step 4: Simplify right side
   1,525.99x = 1,742,310.72
5. Step 5: Solve for x
   x = 1,742,310.72/1,525.99
6. Step 6: Final answer
   x = 1,141.76