Finding the Fourth Proportional to 10,064.34, 15,096.50 and 3,822.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064.34 : 15,096.50 = 3,822.89 : x
2. Step 2: Convert to fraction form
   10,064.34/15,096.50 = 3,822.89/x
3. Step 3: Cross multiply
   10,064.34x = 15,096.50 × 3,822.89
4. Step 4: Simplify right side
   10,064.34x = 57,712,164.29
5. Step 5: Solve for x
   x = 57,712,164.29/10,064.34
6. Step 6: Final answer
   x = 5,734.32