Finding the Fourth Proportional to 10,096.81, 15,152.14 and 3,523.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.81 : 15,152.14 = 3,523.00 : x
2. Step 2: Convert to fraction form
   10,096.81/15,152.14 = 3,523.00/x
3. Step 3: Cross multiply
   10,096.81x = 15,152.14 × 3,523.00
4. Step 4: Simplify right side
   10,096.81x = 53,381,031.72
5. Step 5: Solve for x
   x = 53,381,031.72/10,096.81
6. Step 6: Final answer
   x = 5,286.92