Finding the Fourth Proportional to 5,200.29, 7,814.56 and 2,736.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200.29 : 7,814.56 = 2,736.27 : x
2. Step 2: Convert to fraction form
   5,200.29/7,814.56 = 2,736.27/x
3. Step 3: Cross multiply
   5,200.29x = 7,814.56 × 2,736.27
4. Step 4: Simplify right side
   5,200.29x = 21,382,746.09
5. Step 5: Solve for x
   x = 21,382,746.09/5,200.29
6. Step 6: Final answer
   x = 4,111.84