Finding the Fourth Proportional to 1,488.47, 2,054.00 and 825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.47 : 2,054.00 = 825.30 : x
2. Step 2: Convert to fraction form
   1,488.47/2,054.00 = 825.30/x
3. Step 3: Cross multiply
   1,488.47x = 2,054.00 × 825.30
4. Step 4: Simplify right side
   1,488.47x = 1,695,168.26
5. Step 5: Solve for x
   x = 1,695,168.26/1,488.47
6. Step 6: Final answer
   x = 1,138.87