Finding the Fourth Proportional to 1,488.42, 2,054.21 and 825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.42 : 2,054.21 = 825.30 : x
2. Step 2: Convert to fraction form
   1,488.42/2,054.21 = 825.30/x
3. Step 3: Cross multiply
   1,488.42x = 2,054.21 × 825.30
4. Step 4: Simplify right side
   1,488.42x = 1,695,335.39
5. Step 5: Solve for x
   x = 1,695,335.39/1,488.42
6. Step 6: Final answer
   x = 1,139.02