Finding the Fourth Proportional to 5,216.10, 7,816.82 and 3,748.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.10 : 7,816.82 = 3,748.38 : x
2. Step 2: Convert to fraction form
   5,216.10/7,816.82 = 3,748.38/x
3. Step 3: Cross multiply
   5,216.10x = 7,816.82 × 3,748.38
4. Step 4: Simplify right side
   5,216.10x = 29,300,411.75
5. Step 5: Solve for x
   x = 29,300,411.75/5,216.10
6. Step 6: Final answer
   x = 5,617.30