Finding the Fourth Proportional to 2,354.53, 3,527.49 and 1,102.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.53 : 3,527.49 = 1,102.82 : x
2. Step 2: Convert to fraction form
   2,354.53/3,527.49 = 1,102.82/x
3. Step 3: Cross multiply
   2,354.53x = 3,527.49 × 1,102.82
4. Step 4: Simplify right side
   2,354.53x = 3,890,191.20
5. Step 5: Solve for x
   x = 3,890,191.20/2,354.53
6. Step 6: Final answer
   x = 1,652.22