Finding the Fourth Proportional to 10,094.64, 15,139.89 and 3,853.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,094.64 : 15,139.89 = 3,853.26 : x
2. Step 2: Convert to fraction form
   10,094.64/15,139.89 = 3,853.26/x
3. Step 3: Cross multiply
   10,094.64x = 15,139.89 × 3,853.26
4. Step 4: Simplify right side
   10,094.64x = 58,337,932.54
5. Step 5: Solve for x
   x = 58,337,932.54/10,094.64
6. Step 6: Final answer
   x = 5,779.10