Finding the Fourth Proportional to 3,577.30, 4,937.01 and 2,085.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.30 : 4,937.01 = 2,085.10 : x
2. Step 2: Convert to fraction form
   3,577.30/4,937.01 = 2,085.10/x
3. Step 3: Cross multiply
   3,577.30x = 4,937.01 × 2,085.10
4. Step 4: Simplify right side
   3,577.30x = 10,294,159.55
5. Step 5: Solve for x
   x = 10,294,159.55/3,577.30
6. Step 6: Final answer
   x = 2,877.63