Finding the Fourth Proportional to 1,488.95, 2,054.77 and 825.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.95 : 2,054.77 = 825.82 : x
2. Step 2: Convert to fraction form
   1,488.95/2,054.77 = 825.82/x
3. Step 3: Cross multiply
   1,488.95x = 2,054.77 × 825.82
4. Step 4: Simplify right side
   1,488.95x = 1,696,870.16
5. Step 5: Solve for x
   x = 1,696,870.16/1,488.95
6. Step 6: Final answer
   x = 1,139.64