Finding the Fourth Proportional to 10,005.89, 13,808.01 and 5,529.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.89 : 13,808.01 = 5,529.63 : x
2. Step 2: Convert to fraction form
   10,005.89/13,808.01 = 5,529.63/x
3. Step 3: Cross multiply
   10,005.89x = 13,808.01 × 5,529.63
4. Step 4: Simplify right side
   10,005.89x = 76,353,186.34
5. Step 5: Solve for x
   x = 76,353,186.34/10,005.89
6. Step 6: Final answer
   x = 7,630.83