Finding the Fourth Proportional to 13,977, 19,288.32 and 7,689.48

Step by Step Solution

1. Step 1: Write the proportion equation
   13,977 : 19,288.32 = 7,689.48 : x
2. Step 2: Convert to fraction form
   13,977/19,288.32 = 7,689.48/x
3. Step 3: Cross multiply
   13,977x = 19,288.32 × 7,689.48
4. Step 4: Simplify right side
   13,977x = 148,317,150.87
5. Step 5: Solve for x
   x = 148,317,150.87/13,977
6. Step 6: Final answer
   x = 10,611.52