Finding the Fourth Proportional to 3,537.65, 5,308.71 and 1,978.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,537.65 : 5,308.71 = 1,978.67 : x
2. Step 2: Convert to fraction form
   3,537.65/5,308.71 = 1,978.67/x
3. Step 3: Cross multiply
   3,537.65x = 5,308.71 × 1,978.67
4. Step 4: Simplify right side
   3,537.65x = 10,504,185.22
5. Step 5: Solve for x
   x = 10,504,185.22/3,537.65
6. Step 6: Final answer
   x = 2,969.26