Finding the Fourth Proportional to 10,013.01, 13,817.70 and 5,536.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.01 : 13,817.70 = 5,536.64 : x
2. Step 2: Convert to fraction form
   10,013.01/13,817.70 = 5,536.64/x
3. Step 3: Cross multiply
   10,013.01x = 13,817.70 × 5,536.64
4. Step 4: Simplify right side
   10,013.01x = 76,503,685.83
5. Step 5: Solve for x
   x = 76,503,685.83/10,013.01
6. Step 6: Final answer
   x = 7,640.43