Finding the Fourth Proportional to 1,488.00, 2,053.53 and 824.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.00 : 2,053.53 = 824.84 : x
2. Step 2: Convert to fraction form
   1,488.00/2,053.53 = 824.84/x
3. Step 3: Cross multiply
   1,488.00x = 2,053.53 × 824.84
4. Step 4: Simplify right side
   1,488.00x = 1,693,834.57
5. Step 5: Solve for x
   x = 1,693,834.57/1,488.00
6. Step 6: Final answer
   x = 1,138.33