Finding the Fourth Proportional to 1,488.63, 2,054.31 and 825.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.63 : 2,054.31 = 825.46 : x
2. Step 2: Convert to fraction form
   1,488.63/2,054.31 = 825.46/x
3. Step 3: Cross multiply
   1,488.63x = 2,054.31 × 825.46
4. Step 4: Simplify right side
   1,488.63x = 1,695,754.06
5. Step 5: Solve for x
   x = 1,695,754.06/1,488.63
6. Step 6: Final answer
   x = 1,139.14