Finding the Fourth Proportional to 1,488.07, 2,053.59 and 824.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.07 : 2,053.59 = 824.87 : x
2. Step 2: Convert to fraction form
   1,488.07/2,053.59 = 824.87/x
3. Step 3: Cross multiply
   1,488.07x = 2,053.59 × 824.87
4. Step 4: Simplify right side
   1,488.07x = 1,693,944.78
5. Step 5: Solve for x
   x = 1,693,944.78/1,488.07
6. Step 6: Final answer
   x = 1,138.35