Finding the Fourth Proportional to 7,795.06, 10,766.15 and 5,680.05

Step by Step Solution

1. Step 1: Write the proportion equation
   7,795.06 : 10,766.15 = 5,680.05 : x
2. Step 2: Convert to fraction form
   7,795.06/10,766.15 = 5,680.05/x
3. Step 3: Cross multiply
   7,795.06x = 10,766.15 × 5,680.05
4. Step 4: Simplify right side
   7,795.06x = 61,152,277.08
5. Step 5: Solve for x
   x = 61,152,277.08/7,795.06
6. Step 6: Final answer
   x = 7,845.00