Finding the Fourth Proportional to 12,771.60, 17,624.89 and 7,465.35

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771.60 : 17,624.89 = 7,465.35 : x
2. Step 2: Convert to fraction form
   12,771.60/17,624.89 = 7,465.35/x
3. Step 3: Cross multiply
   12,771.60x = 17,624.89 × 7,465.35
4. Step 4: Simplify right side
   12,771.60x = 131,575,972.56
5. Step 5: Solve for x
   x = 131,575,972.56/12,771.60
6. Step 6: Final answer
   x = 10,302.23