Finding the Fourth Proportional to 1,488.53, 2,053.96 and 825.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.53 : 2,053.96 = 825.21 : x
2. Step 2: Convert to fraction form
   1,488.53/2,053.96 = 825.21/x
3. Step 3: Cross multiply
   1,488.53x = 2,053.96 × 825.21
4. Step 4: Simplify right side
   1,488.53x = 1,694,946.27
5. Step 5: Solve for x
   x = 1,694,946.27/1,488.53
6. Step 6: Final answer
   x = 1,138.67