Finding the Fourth Proportional to 1,488.04, 2,053.45 and 824.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.04 : 2,053.45 = 824.88 : x
2. Step 2: Convert to fraction form
   1,488.04/2,053.45 = 824.88/x
3. Step 3: Cross multiply
   1,488.04x = 2,053.45 × 824.88
4. Step 4: Simplify right side
   1,488.04x = 1,693,858.57
5. Step 5: Solve for x
   x = 1,693,858.57/1,488.04
6. Step 6: Final answer
   x = 1,138.32