Finding the Fourth Proportional to 1,488.05, 2,053.42 and 824.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.05 : 2,053.42 = 824.88 : x
2. Step 2: Convert to fraction form
   1,488.05/2,053.42 = 824.88/x
3. Step 3: Cross multiply
   1,488.05x = 2,053.42 × 824.88
4. Step 4: Simplify right side
   1,488.05x = 1,693,830.73
5. Step 5: Solve for x
   x = 1,693,830.73/1,488.05
6. Step 6: Final answer
   x = 1,138.29