Finding the Fourth Proportional to 12,772.10, 17,625.59 and 7,465.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,772.10 : 17,625.59 = 7,465.86 : x
2. Step 2: Convert to fraction form
   12,772.10/17,625.59 = 7,465.86/x
3. Step 3: Cross multiply
   12,772.10x = 17,625.59 × 7,465.86
4. Step 4: Simplify right side
   12,772.10x = 131,590,150.03
5. Step 5: Solve for x
   x = 131,590,150.03/12,772.10
6. Step 6: Final answer
   x = 10,302.94