Finding the Fourth Proportional to 9,488.61, 13,082.11 and 7,780.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,488.61 : 13,082.11 = 7,780.83 : x
2. Step 2: Convert to fraction form
   9,488.61/13,082.11 = 7,780.83/x
3. Step 3: Cross multiply
   9,488.61x = 13,082.11 × 7,780.83
4. Step 4: Simplify right side
   9,488.61x = 101,789,673.95
5. Step 5: Solve for x
   x = 101,789,673.95/9,488.61
6. Step 6: Final answer
   x = 10,727.56