Finding the Fourth Proportional to 10,005.98, 13,807.81 and 5,529.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.98 : 13,807.81 = 5,529.64 : x
2. Step 2: Convert to fraction form
   10,005.98/13,807.81 = 5,529.64/x
3. Step 3: Cross multiply
   10,005.98x = 13,807.81 × 5,529.64
4. Step 4: Simplify right side
   10,005.98x = 76,352,218.49
5. Step 5: Solve for x
   x = 76,352,218.49/10,005.98
6. Step 6: Final answer
   x = 7,630.66