Finding the Fourth Proportional to 1,488.84, 2,054.34 and 825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.84 : 2,054.34 = 825.69 : x
2. Step 2: Convert to fraction form
   1,488.84/2,054.34 = 825.69/x
3. Step 3: Cross multiply
   1,488.84x = 2,054.34 × 825.69
4. Step 4: Simplify right side
   1,488.84x = 1,696,247.99
5. Step 5: Solve for x
   x = 1,696,247.99/1,488.84
6. Step 6: Final answer
   x = 1,139.31