Finding the Fourth Proportional to 9,984.05, 13,777.84 and 5,507.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,984.05 : 13,777.84 = 5,507.78 : x
2. Step 2: Convert to fraction form
   9,984.05/13,777.84 = 5,507.78/x
3. Step 3: Cross multiply
   9,984.05x = 13,777.84 × 5,507.78
4. Step 4: Simplify right side
   9,984.05x = 75,885,332.27
5. Step 5: Solve for x
   x = 75,885,332.27/9,984.05
6. Step 6: Final answer
   x = 7,600.66