Finding the Fourth Proportional to 12,591.83, 17,369.97 and 7,808.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,591.83 : 17,369.97 = 7,808.78 : x
2. Step 2: Convert to fraction form
   12,591.83/17,369.97 = 7,808.78/x
3. Step 3: Cross multiply
   12,591.83x = 17,369.97 × 7,808.78
4. Step 4: Simplify right side
   12,591.83x = 135,638,274.34
5. Step 5: Solve for x
   x = 135,638,274.34/12,591.83
6. Step 6: Final answer
   x = 10,771.93