Finding the Fourth Proportional to 1,488.34, 2,053.85 and 825.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.34 : 2,053.85 = 825.09 : x
2. Step 2: Convert to fraction form
   1,488.34/2,053.85 = 825.09/x
3. Step 3: Cross multiply
   1,488.34x = 2,053.85 × 825.09
4. Step 4: Simplify right side
   1,488.34x = 1,694,611.10
5. Step 5: Solve for x
   x = 1,694,611.10/1,488.34
6. Step 6: Final answer
   x = 1,138.59