Finding the Fourth Proportional to 3,700.54, 5,101.77 and 3,585.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,700.54 : 5,101.77 = 3,585.88 : x
2. Step 2: Convert to fraction form
   3,700.54/5,101.77 = 3,585.88/x
3. Step 3: Cross multiply
   3,700.54x = 5,101.77 × 3,585.88
4. Step 4: Simplify right side
   3,700.54x = 18,294,335.01
5. Step 5: Solve for x
   x = 18,294,335.01/3,700.54
6. Step 6: Final answer
   x = 4,943.69