Finding the Fourth Proportional to 9,977.64, 13,768.56 and 5,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.64 : 13,768.56 = 5,500.50 : x
2. Step 2: Convert to fraction form
   9,977.64/13,768.56 = 5,500.50/x
3. Step 3: Cross multiply
   9,977.64x = 13,768.56 × 5,500.50
4. Step 4: Simplify right side
   9,977.64x = 75,733,964.28
5. Step 5: Solve for x
   x = 75,733,964.28/9,977.64
6. Step 6: Final answer
   x = 7,590.37