Finding the Fourth Proportional to 1,488.69, 2,054.37 and 825.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.69 : 2,054.37 = 825.53 : x
2. Step 2: Convert to fraction form
   1,488.69/2,054.37 = 825.53/x
3. Step 3: Cross multiply
   1,488.69x = 2,054.37 × 825.53
4. Step 4: Simplify right side
   1,488.69x = 1,695,944.07
5. Step 5: Solve for x
   x = 1,695,944.07/1,488.69
6. Step 6: Final answer
   x = 1,139.22