Finding the Fourth Proportional to 7,827.83, 10,802.55 and 4,290.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,827.83 : 10,802.55 = 4,290.83 : x
2. Step 2: Convert to fraction form
   7,827.83/10,802.55 = 4,290.83/x
3. Step 3: Cross multiply
   7,827.83x = 10,802.55 × 4,290.83
4. Step 4: Simplify right side
   7,827.83x = 46,351,830.15
5. Step 5: Solve for x
   x = 46,351,830.15/7,827.83
6. Step 6: Final answer
   x = 5,921.42