Finding the Fourth Proportional to 10,256.49, 15,386.29 and 3,684.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.49 : 15,386.29 = 3,684.22 : x
2. Step 2: Convert to fraction form
   10,256.49/15,386.29 = 3,684.22/x
3. Step 3: Cross multiply
   10,256.49x = 15,386.29 × 3,684.22
4. Step 4: Simplify right side
   10,256.49x = 56,686,429.67
5. Step 5: Solve for x
   x = 56,686,429.67/10,256.49
6. Step 6: Final answer
   x = 5,526.88