Finding the Fourth Proportional to 12,830.10, 17,697.84 and 7,791.76

Step by Step Solution

1. Step 1: Write the proportion equation
   12,830.10 : 17,697.84 = 7,791.76 : x
2. Step 2: Convert to fraction form
   12,830.10/17,697.84 = 7,791.76/x
3. Step 3: Cross multiply
   12,830.10x = 17,697.84 × 7,791.76
4. Step 4: Simplify right side
   12,830.10x = 137,897,321.80
5. Step 5: Solve for x
   x = 137,897,321.80/12,830.10
6. Step 6: Final answer
   x = 10,747.95