Finding the Fourth Proportional to 1,488.07, 2,053.50 and 824.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,488.07 : 2,053.50 = 824.93 : x
2. Step 2: Convert to fraction form
   1,488.07/2,053.50 = 824.93/x
3. Step 3: Cross multiply
   1,488.07x = 2,053.50 × 824.93
4. Step 4: Simplify right side
   1,488.07x = 1,694,004.29
5. Step 5: Solve for x
   x = 1,694,004.29/1,488.07
6. Step 6: Final answer
   x = 1,138.39