Finding the Fourth Proportional to 1,487.94, 2,053.41 and 824.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.94 : 2,053.41 = 824.78 : x
2. Step 2: Convert to fraction form
   1,487.94/2,053.41 = 824.78/x
3. Step 3: Cross multiply
   1,487.94x = 2,053.41 × 824.78
4. Step 4: Simplify right side
   1,487.94x = 1,693,611.50
5. Step 5: Solve for x
   x = 1,693,611.50/1,487.94
6. Step 6: Final answer
   x = 1,138.23