Finding the Fourth Proportional to 13,973.50, 19,283.61 and 7,686.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,973.50 : 19,283.61 = 7,686.10 : x
2. Step 2: Convert to fraction form
   13,973.50/19,283.61 = 7,686.10/x
3. Step 3: Cross multiply
   13,973.50x = 19,283.61 × 7,686.10
4. Step 4: Simplify right side
   13,973.50x = 148,215,754.82
5. Step 5: Solve for x
   x = 148,215,754.82/13,973.50
6. Step 6: Final answer
   x = 10,606.92