Finding the Fourth Proportional to 7,830.96, 10,806.71 and 4,294.23

Step by Step Solution

1. Step 1: Write the proportion equation
   7,830.96 : 10,806.71 = 4,294.23 : x
2. Step 2: Convert to fraction form
   7,830.96/10,806.71 = 4,294.23/x
3. Step 3: Cross multiply
   7,830.96x = 10,806.71 × 4,294.23
4. Step 4: Simplify right side
   7,830.96x = 46,406,498.28
5. Step 5: Solve for x
   x = 46,406,498.28/7,830.96
6. Step 6: Final answer
   x = 5,926.03