Finding the Fourth Proportional to 1,314, 1,814.04 and 1,002.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314 : 1,814.04 = 1,002.96 : x
2. Step 2: Convert to fraction form
   1,314/1,814.04 = 1,002.96/x
3. Step 3: Cross multiply
   1,314x = 1,814.04 × 1,002.96
4. Step 4: Simplify right side
   1,314x = 1,819,409.56
5. Step 5: Solve for x
   x = 1,819,409.56/1,314
6. Step 6: Final answer
   x = 1,384.63