Finding the Fourth Proportional to 3,697.83, 5,506.47 and 3,656.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,697.83 : 5,506.47 = 3,656.92 : x
2. Step 2: Convert to fraction form
   3,697.83/5,506.47 = 3,656.92/x
3. Step 3: Cross multiply
   3,697.83x = 5,506.47 × 3,656.92
4. Step 4: Simplify right side
   3,697.83x = 20,136,720.27
5. Step 5: Solve for x
   x = 20,136,720.27/3,697.83
6. Step 6: Final answer
   x = 5,445.55