Finding the Fourth Proportional to 7,838.18, 10,830.71 and 5,829.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.18 : 10,830.71 = 5,829.71 : x
2. Step 2: Convert to fraction form
   7,838.18/10,830.71 = 5,829.71/x
3. Step 3: Cross multiply
   7,838.18x = 10,830.71 × 5,829.71
4. Step 4: Simplify right side
   7,838.18x = 63,139,815.09
5. Step 5: Solve for x
   x = 63,139,815.09/7,838.18
6. Step 6: Final answer
   x = 8,055.42