Finding the Fourth Proportional to 7,793.30, 10,763.69 and 5,678.33

Step by Step Solution

1. Step 1: Write the proportion equation
   7,793.30 : 10,763.69 = 5,678.33 : x
2. Step 2: Convert to fraction form
   7,793.30/10,763.69 = 5,678.33/x
3. Step 3: Cross multiply
   7,793.30x = 10,763.69 × 5,678.33
4. Step 4: Simplify right side
   7,793.30x = 61,119,701.63
5. Step 5: Solve for x
   x = 61,119,701.63/7,793.30
6. Step 6: Final answer
   x = 7,842.59