Finding the Fourth Proportional to 10,013.02, 13,817.88 and 5,536.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,013.02 : 13,817.88 = 5,536.96 : x
2. Step 2: Convert to fraction form
   10,013.02/13,817.88 = 5,536.96/x
3. Step 3: Cross multiply
   10,013.02x = 13,817.88 × 5,536.96
4. Step 4: Simplify right side
   10,013.02x = 76,508,979.76
5. Step 5: Solve for x
   x = 76,508,979.76/10,013.02
6. Step 6: Final answer
   x = 7,640.95