Finding the Fourth Proportional to 10,064.14, 15,096.61 and 2,567.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064.14 : 15,096.61 = 2,567.89 : x
2. Step 2: Convert to fraction form
   10,064.14/15,096.61 = 2,567.89/x
3. Step 3: Cross multiply
   10,064.14x = 15,096.61 × 2,567.89
4. Step 4: Simplify right side
   10,064.14x = 38,766,345.53
5. Step 5: Solve for x
   x = 38,766,345.53/10,064.14
6. Step 6: Final answer
   x = 3,851.93