Finding the Fourth Proportional to 1,488.58, 2,054.30 and 825.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.58 : 2,054.30 = 825.53 : x
2. Step 2: Convert to fraction form
   1,488.58/2,054.30 = 825.53/x
3. Step 3: Cross multiply
   1,488.58x = 2,054.30 × 825.53
4. Step 4: Simplify right side
   1,488.58x = 1,695,871.88
5. Step 5: Solve for x
   x = 1,695,871.88/1,488.58
6. Step 6: Final answer
   x = 1,139.26