Finding the Fourth Proportional to 1,002.42, 1,506.63 and 830.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.42 : 1,506.63 = 830.21 : x
2. Step 2: Convert to fraction form
   1,002.42/1,506.63 = 830.21/x
3. Step 3: Cross multiply
   1,002.42x = 1,506.63 × 830.21
4. Step 4: Simplify right side
   1,002.42x = 1,250,811.76
5. Step 5: Solve for x
   x = 1,250,811.76/1,002.42
6. Step 6: Final answer
   x = 1,247.79