Finding the Fourth Proportional to 5,209.86, 7,814.76 and 1,314.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,209.86 : 7,814.76 = 1,314.25 : x
2. Step 2: Convert to fraction form
   5,209.86/7,814.76 = 1,314.25/x
3. Step 3: Cross multiply
   5,209.86x = 7,814.76 × 1,314.25
4. Step 4: Simplify right side
   5,209.86x = 10,270,548.33
5. Step 5: Solve for x
   x = 10,270,548.33/5,209.86
6. Step 6: Final answer
   x = 1,971.37