Finding the Fourth Proportional to 10,094, 15,141.56 and 3,854.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094 : 15,141.56 = 3,854.52 : x
2. Step 2: Convert to fraction form
   10,094/15,141.56 = 3,854.52/x
3. Step 3: Cross multiply
   10,094x = 15,141.56 × 3,854.52
4. Step 4: Simplify right side
   10,094x = 58,363,445.85
5. Step 5: Solve for x
   x = 58,363,445.85/10,094
6. Step 6: Final answer
   x = 5,781.99