Finding the Fourth Proportional to 9,977.40, 13,768.56 and 5,729.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.40 : 13,768.56 = 5,729.22 : x
2. Step 2: Convert to fraction form
   9,977.40/13,768.56 = 5,729.22/x
3. Step 3: Cross multiply
   9,977.40x = 13,768.56 × 5,729.22
4. Step 4: Simplify right side
   9,977.40x = 78,883,109.32
5. Step 5: Solve for x
   x = 78,883,109.32/9,977.40
6. Step 6: Final answer
   x = 7,906.18