Finding the Fourth Proportional to 9,977.74, 13,768.66 and 5,501.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.74 : 13,768.66 = 5,501.54 : x
2. Step 2: Convert to fraction form
   9,977.74/13,768.66 = 5,501.54/x
3. Step 3: Cross multiply
   9,977.74x = 13,768.66 × 5,501.54
4. Step 4: Simplify right side
   9,977.74x = 75,748,833.74
5. Step 5: Solve for x
   x = 75,748,833.74/9,977.74
6. Step 6: Final answer
   x = 7,591.78