Finding the Fourth Proportional to 10,136.00, 15,211.82 and 5,209.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.00 : 15,211.82 = 5,209.94 : x
2. Step 2: Convert to fraction form
   10,136.00/15,211.82 = 5,209.94/x
3. Step 3: Cross multiply
   10,136.00x = 15,211.82 × 5,209.94
4. Step 4: Simplify right side
   10,136.00x = 79,252,606.46
5. Step 5: Solve for x
   x = 79,252,606.46/10,136.00
6. Step 6: Final answer
   x = 7,818.93