Finding the Fourth Proportional to 13,964.01, 19,271.51 and 7,677.57

Step by Step Solution

1. Step 1: Write the proportion equation
   13,964.01 : 19,271.51 = 7,677.57 : x
2. Step 2: Convert to fraction form
   13,964.01/19,271.51 = 7,677.57/x
3. Step 3: Cross multiply
   13,964.01x = 19,271.51 × 7,677.57
4. Step 4: Simplify right side
   13,964.01x = 147,958,328.64
5. Step 5: Solve for x
   x = 147,958,328.64/13,964.01
6. Step 6: Final answer
   x = 10,595.69