Finding the Fourth Proportional to 13,964.58, 19,271.25 and 7,677

Step by Step Solution

1. Step 1: Write the proportion equation
   13,964.58 : 19,271.25 = 7,677 : x
2. Step 2: Convert to fraction form
   13,964.58/19,271.25 = 7,677/x
3. Step 3: Cross multiply
   13,964.58x = 19,271.25 × 7,677
4. Step 4: Simplify right side
   13,964.58x = 147,945,386.25
5. Step 5: Solve for x
   x = 147,945,386.25/13,964.58
6. Step 6: Final answer
   x = 10,594.33