Finding the Fourth Proportional to 5,185.34, 7,781.25 and 3,777.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,185.34 : 7,781.25 = 3,777.16 : x
2. Step 2: Convert to fraction form
   5,185.34/7,781.25 = 3,777.16/x
3. Step 3: Cross multiply
   5,185.34x = 7,781.25 × 3,777.16
4. Step 4: Simplify right side
   5,185.34x = 29,391,026.25
5. Step 5: Solve for x
   x = 29,391,026.25/5,185.34
6. Step 6: Final answer
   x = 5,668.10