Finding the Fourth Proportional to 12,817.46, 17,689.31 and 7,780.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,817.46 : 17,689.31 = 7,780.52 : x
2. Step 2: Convert to fraction form
   12,817.46/17,689.31 = 7,780.52/x
3. Step 3: Cross multiply
   12,817.46x = 17,689.31 × 7,780.52
4. Step 4: Simplify right side
   12,817.46x = 137,632,093.92
5. Step 5: Solve for x
   x = 137,632,093.92/12,817.46
6. Step 6: Final answer
   x = 10,737.86