Finding the Fourth Proportional to 3,902.42, 5,385.32 and 2,134.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,902.42 : 5,385.32 = 2,134.02 : x
2. Step 2: Convert to fraction form
   3,902.42/5,385.32 = 2,134.02/x
3. Step 3: Cross multiply
   3,902.42x = 5,385.32 × 2,134.02
4. Step 4: Simplify right side
   3,902.42x = 11,492,380.59
5. Step 5: Solve for x
   x = 11,492,380.59/3,902.42
6. Step 6: Final answer
   x = 2,944.94