Finding the Fourth Proportional to 7,780.38, 10,782.34 and 7,632.70

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.38 : 10,782.34 = 7,632.70 : x
2. Step 2: Convert to fraction form
   7,780.38/10,782.34 = 7,632.70/x
3. Step 3: Cross multiply
   7,780.38x = 10,782.34 × 7,632.70
4. Step 4: Simplify right side
   7,780.38x = 82,298,366.52
5. Step 5: Solve for x
   x = 82,298,366.52/7,780.38
6. Step 6: Final answer
   x = 10,577.68