Finding the Fourth Proportional to 3,796.56, 5,688.96 and 2,559.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.56 : 5,688.96 = 2,559.12 : x
2. Step 2: Convert to fraction form
   3,796.56/5,688.96 = 2,559.12/x
3. Step 3: Cross multiply
   3,796.56x = 5,688.96 × 2,559.12
4. Step 4: Simplify right side
   3,796.56x = 14,558,731.32
5. Step 5: Solve for x
   x = 14,558,731.32/3,796.56
6. Step 6: Final answer
   x = 3,834.72