Finding the Fourth Proportional to 2,378.10, 3,549.96 and 2,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378.10 : 3,549.96 = 2,086.50 : x
2. Step 2: Convert to fraction form
   2,378.10/3,549.96 = 2,086.50/x
3. Step 3: Cross multiply
   2,378.10x = 3,549.96 × 2,086.50
4. Step 4: Simplify right side
   2,378.10x = 7,406,999.36
5. Step 5: Solve for x
   x = 7,406,999.36/2,378.10
6. Step 6: Final answer
   x = 3,114.67