Finding the Fourth Proportional to 2,096.86, 3,145.90 and 1,002.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.86 : 3,145.90 = 1,002.14 : x
2. Step 2: Convert to fraction form
   2,096.86/3,145.90 = 1,002.14/x
3. Step 3: Cross multiply
   2,096.86x = 3,145.90 × 1,002.14
4. Step 4: Simplify right side
   2,096.86x = 3,152,632.23
5. Step 5: Solve for x
   x = 3,152,632.23/2,096.86
6. Step 6: Final answer
   x = 1,503.50