Finding the Fourth Proportional to 1,488.64, 2,054.33 and 825.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.64 : 2,054.33 = 825.45 : x
2. Step 2: Convert to fraction form
   1,488.64/2,054.33 = 825.45/x
3. Step 3: Cross multiply
   1,488.64x = 2,054.33 × 825.45
4. Step 4: Simplify right side
   1,488.64x = 1,695,732.30
5. Step 5: Solve for x
   x = 1,695,732.30/1,488.64
6. Step 6: Final answer
   x = 1,139.12