Finding the Fourth Proportional to 5,434.96, 7,500.16 and 3,865.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,434.96 : 7,500.16 = 3,865.80 : x
2. Step 2: Convert to fraction form
   5,434.96/7,500.16 = 3,865.80/x
3. Step 3: Cross multiply
   5,434.96x = 7,500.16 × 3,865.80
4. Step 4: Simplify right side
   5,434.96x = 28,994,118.53
5. Step 5: Solve for x
   x = 28,994,118.53/5,434.96
6. Step 6: Final answer
   x = 5,334.74