Finding the Fourth Proportional to 1,487.71, 2,053.02 and 824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.71 : 2,053.02 = 824.56 : x
2. Step 2: Convert to fraction form
   1,487.71/2,053.02 = 824.56/x
3. Step 3: Cross multiply
   1,487.71x = 2,053.02 × 824.56
4. Step 4: Simplify right side
   1,487.71x = 1,692,838.17
5. Step 5: Solve for x
   x = 1,692,838.17/1,487.71
6. Step 6: Final answer
   x = 1,137.88