Finding the Fourth Proportional to 1,488.83, 2,054.63 and 825.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.83 : 2,054.63 = 825.64 : x
2. Step 2: Convert to fraction form
   1,488.83/2,054.63 = 825.64/x
3. Step 3: Cross multiply
   1,488.83x = 2,054.63 × 825.64
4. Step 4: Simplify right side
   1,488.83x = 1,696,370.31
5. Step 5: Solve for x
   x = 1,696,370.31/1,488.83
6. Step 6: Final answer
   x = 1,139.40