Finding the Fourth Proportional to 1,488.86, 2,054.74 and 825.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.86 : 2,054.74 = 825.77 : x
2. Step 2: Convert to fraction form
   1,488.86/2,054.74 = 825.77/x
3. Step 3: Cross multiply
   1,488.86x = 2,054.74 × 825.77
4. Step 4: Simplify right side
   1,488.86x = 1,696,742.65
5. Step 5: Solve for x
   x = 1,696,742.65/1,488.86
6. Step 6: Final answer
   x = 1,139.63