Finding the Fourth Proportional to 47,538, 65,619.72 and 27,666

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 65,619.72 = 27,666 : x
2. Step 2: Convert to fraction form
   47,538/65,619.72 = 27,666/x
3. Step 3: Cross multiply
   47,538x = 65,619.72 × 27,666
4. Step 4: Simplify right side
   47,538x = 1,815,435,173.52
5. Step 5: Solve for x
   x = 1,815,435,173.52/47,538
6. Step 6: Final answer
   x = 38,189.14