Finding the Fourth Proportional to 13,977.34, 19,288.46 and 7,689.72

Step by Step Solution

1. Step 1: Write the proportion equation
   13,977.34 : 19,288.46 = 7,689.72 : x
2. Step 2: Convert to fraction form
   13,977.34/19,288.46 = 7,689.72/x
3. Step 3: Cross multiply
   13,977.34x = 19,288.46 × 7,689.72
4. Step 4: Simplify right side
   13,977.34x = 148,322,856.63
5. Step 5: Solve for x
   x = 148,322,856.63/13,977.34
6. Step 6: Final answer
   x = 10,611.67