Finding the Fourth Proportional to 5,209.61, 7,814.39 and 1,314

Step by Step Solution

1. Step 1: Write the proportion equation
   5,209.61 : 7,814.39 = 1,314 : x
2. Step 2: Convert to fraction form
   5,209.61/7,814.39 = 1,314/x
3. Step 3: Cross multiply
   5,209.61x = 7,814.39 × 1,314
4. Step 4: Simplify right side
   5,209.61x = 10,268,101.89
5. Step 5: Solve for x
   x = 10,268,101.89/5,209.61
6. Step 6: Final answer
   x = 1,970.99