Finding the Fourth Proportional to 1,487.34, 2,052.72 and 824.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.34 : 2,052.72 = 824.31 : x
2. Step 2: Convert to fraction form
   1,487.34/2,052.72 = 824.31/x
3. Step 3: Cross multiply
   1,487.34x = 2,052.72 × 824.31
4. Step 4: Simplify right side
   1,487.34x = 1,692,077.62
5. Step 5: Solve for x
   x = 1,692,077.62/1,487.34
6. Step 6: Final answer
   x = 1,137.65