Finding the Fourth Proportional to 9,978.06, 14,971.64 and 3,738.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.06 : 14,971.64 = 3,738.55 : x
2. Step 2: Convert to fraction form
   9,978.06/14,971.64 = 3,738.55/x
3. Step 3: Cross multiply
   9,978.06x = 14,971.64 × 3,738.55
4. Step 4: Simplify right side
   9,978.06x = 55,972,224.72
5. Step 5: Solve for x
   x = 55,972,224.72/9,978.06
6. Step 6: Final answer
   x = 5,609.53