Finding the Fourth Proportional to 1,488.21, 2,053.72 and 825.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.21 : 2,053.72 = 825.04 : x
2. Step 2: Convert to fraction form
   1,488.21/2,053.72 = 825.04/x
3. Step 3: Cross multiply
   1,488.21x = 2,053.72 × 825.04
4. Step 4: Simplify right side
   1,488.21x = 1,694,404.75
5. Step 5: Solve for x
   x = 1,694,404.75/1,488.21
6. Step 6: Final answer
   x = 1,138.56