Finding the Fourth Proportional to 3,657.72, 5,488.86 and 1,349

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.72 : 5,488.86 = 1,349 : x
2. Step 2: Convert to fraction form
   3,657.72/5,488.86 = 1,349/x
3. Step 3: Cross multiply
   3,657.72x = 5,488.86 × 1,349
4. Step 4: Simplify right side
   3,657.72x = 7,404,472.14
5. Step 5: Solve for x
   x = 7,404,472.14/3,657.72
6. Step 6: Final answer
   x = 2,024.34