Finding the Fourth Proportional to 12,965.52, 17,892.42 and 7,591.64

Step by Step Solution

1. Step 1: Write the proportion equation
   12,965.52 : 17,892.42 = 7,591.64 : x
2. Step 2: Convert to fraction form
   12,965.52/17,892.42 = 7,591.64/x
3. Step 3: Cross multiply
   12,965.52x = 17,892.42 × 7,591.64
4. Step 4: Simplify right side
   12,965.52x = 135,832,811.37
5. Step 5: Solve for x
   x = 135,832,811.37/12,965.52
6. Step 6: Final answer
   x = 10,476.46