Finding the Fourth Proportional to 13,851.74, 19,115.40 and 7,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,851.74 : 19,115.40 = 7,564.10 : x
2. Step 2: Convert to fraction form
   13,851.74/19,115.40 = 7,564.10/x
3. Step 3: Cross multiply
   13,851.74x = 19,115.40 × 7,564.10
4. Step 4: Simplify right side
   13,851.74x = 144,590,797.14
5. Step 5: Solve for x
   x = 144,590,797.14/13,851.74
6. Step 6: Final answer
   x = 10,438.46