Finding the Fourth Proportional to 7,796.08, 10,758.42 and 4,259.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796.08 : 10,758.42 = 4,259.20 : x
2. Step 2: Convert to fraction form
   7,796.08/10,758.42 = 4,259.20/x
3. Step 3: Cross multiply
   7,796.08x = 10,758.42 × 4,259.20
4. Step 4: Simplify right side
   7,796.08x = 45,822,262.46
5. Step 5: Solve for x
   x = 45,822,262.46/7,796.08
6. Step 6: Final answer
   x = 5,877.60