Finding the Fourth Proportional to 7,830.37, 10,806.59 and 4,294.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830.37 : 10,806.59 = 4,294.27 : x
2. Step 2: Convert to fraction form
   7,830.37/10,806.59 = 4,294.27/x
3. Step 3: Cross multiply
   7,830.37x = 10,806.59 × 4,294.27
4. Step 4: Simplify right side
   7,830.37x = 46,406,415.24
5. Step 5: Solve for x
   x = 46,406,415.24/7,830.37
6. Step 6: Final answer
   x = 5,926.47