Finding the Fourth Proportional to 1,487.72, 2,053.02 and 824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.72 : 2,053.02 = 824.62 : x
2. Step 2: Convert to fraction form
   1,487.72/2,053.02 = 824.62/x
3. Step 3: Cross multiply
   1,487.72x = 2,053.02 × 824.62
4. Step 4: Simplify right side
   1,487.72x = 1,692,961.35
5. Step 5: Solve for x
   x = 1,692,961.35/1,487.72
6. Step 6: Final answer
   x = 1,137.96