Finding the Fourth Proportional to 1,002.14, 1,501.98 and 474.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.14 : 1,501.98 = 474.86 : x
2. Step 2: Convert to fraction form
   1,002.14/1,501.98 = 474.86/x
3. Step 3: Cross multiply
   1,002.14x = 1,501.98 × 474.86
4. Step 4: Simplify right side
   1,002.14x = 713,230.22
5. Step 5: Solve for x
   x = 713,230.22/1,002.14
6. Step 6: Final answer
   x = 711.71