Finding the Fourth Proportional to 11,743.76, 17,615.60 and 2,978.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,743.76 : 17,615.60 = 2,978.64 : x
2. Step 2: Convert to fraction form
   11,743.76/17,615.60 = 2,978.64/x
3. Step 3: Cross multiply
   11,743.76x = 17,615.60 × 2,978.64
4. Step 4: Simplify right side
   11,743.76x = 52,470,515.89
5. Step 5: Solve for x
   x = 52,470,515.89/11,743.76
6. Step 6: Final answer
   x = 4,467.95