Finding the Fourth Proportional to 10,094.31, 15,138.06 and 3,856.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.31 : 15,138.06 = 3,856.17 : x
2. Step 2: Convert to fraction form
   10,094.31/15,138.06 = 3,856.17/x
3. Step 3: Cross multiply
   10,094.31x = 15,138.06 × 3,856.17
4. Step 4: Simplify right side
   10,094.31x = 58,374,932.83
5. Step 5: Solve for x
   x = 58,374,932.83/10,094.31
6. Step 6: Final answer
   x = 5,782.95