Finding the Fourth Proportional to 10,136.34, 15,205.33 and 3,564.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.34 : 15,205.33 = 3,564.00 : x
2. Step 2: Convert to fraction form
   10,136.34/15,205.33 = 3,564.00/x
3. Step 3: Cross multiply
   10,136.34x = 15,205.33 × 3,564.00
4. Step 4: Simplify right side
   10,136.34x = 54,191,825.22
5. Step 5: Solve for x
   x = 54,191,825.22/10,136.34
6. Step 6: Final answer
   x = 5,346.29