Finding the Fourth Proportional to 1,487.82, 2,053.18 and 824.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.82 : 2,053.18 = 824.71 : x
2. Step 2: Convert to fraction form
   1,487.82/2,053.18 = 824.71/x
3. Step 3: Cross multiply
   1,487.82x = 2,053.18 × 824.71
4. Step 4: Simplify right side
   1,487.82x = 1,693,278.08
5. Step 5: Solve for x
   x = 1,693,278.08/1,487.82
6. Step 6: Final answer
   x = 1,138.09