Finding the Fourth Proportional to 1,487.42, 2,052.42 and 824.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,487.42 : 2,052.42 = 824.30 : x
2. Step 2: Convert to fraction form
   1,487.42/2,052.42 = 824.30/x
3. Step 3: Cross multiply
   1,487.42x = 2,052.42 × 824.30
4. Step 4: Simplify right side
   1,487.42x = 1,691,809.81
5. Step 5: Solve for x
   x = 1,691,809.81/1,487.42
6. Step 6: Final answer
   x = 1,137.41