Finding the Fourth Proportional to 1,487.83, 2,053.20 and 824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.83 : 2,053.20 = 824.69 : x
2. Step 2: Convert to fraction form
   1,487.83/2,053.20 = 824.69/x
3. Step 3: Cross multiply
   1,487.83x = 2,053.20 × 824.69
4. Step 4: Simplify right side
   1,487.83x = 1,693,251.32
5. Step 5: Solve for x
   x = 1,693,251.32/1,487.83
6. Step 6: Final answer
   x = 1,138.07