Finding the Fourth Proportional to 5,158.86, 7,727.96 and 2,381.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.86 : 7,727.96 = 2,381.78 : x
2. Step 2: Convert to fraction form
   5,158.86/7,727.96 = 2,381.78/x
3. Step 3: Cross multiply
   5,158.86x = 7,727.96 × 2,381.78
4. Step 4: Simplify right side
   5,158.86x = 18,406,300.57
5. Step 5: Solve for x
   x = 18,406,300.57/5,158.86
6. Step 6: Final answer
   x = 3,567.90