Finding the Fourth Proportional to 10,105.68, 15,159.72 and 3,534.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.68 : 15,159.72 = 3,534.16 : x
2. Step 2: Convert to fraction form
   10,105.68/15,159.72 = 3,534.16/x
3. Step 3: Cross multiply
   10,105.68x = 15,159.72 × 3,534.16
4. Step 4: Simplify right side
   10,105.68x = 53,576,876.04
5. Step 5: Solve for x
   x = 53,576,876.04/10,105.68
6. Step 6: Final answer
   x = 5,301.66