Finding the Fourth Proportional to 10,005.12, 13,807.92 and 5,529.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.12 : 13,807.92 = 5,529.36 : x
2. Step 2: Convert to fraction form
   10,005.12/13,807.92 = 5,529.36/x
3. Step 3: Cross multiply
   10,005.12x = 13,807.92 × 5,529.36
4. Step 4: Simplify right side
   10,005.12x = 76,348,960.53
5. Step 5: Solve for x
   x = 76,348,960.53/10,005.12
6. Step 6: Final answer
   x = 7,630.99