Finding the Fourth Proportional to 5,196.63, 7,171.34 and 2,838.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.63 : 7,171.34 = 2,838.77 : x
2. Step 2: Convert to fraction form
   5,196.63/7,171.34 = 2,838.77/x
3. Step 3: Cross multiply
   5,196.63x = 7,171.34 × 2,838.77
4. Step 4: Simplify right side
   5,196.63x = 20,357,784.85
5. Step 5: Solve for x
   x = 20,357,784.85/5,196.63
6. Step 6: Final answer
   x = 3,917.50