Finding the Fourth Proportional to 9,254.10, 13,875.00 and 5,096.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,254.10 : 13,875.00 = 5,096.06 : x
2. Step 2: Convert to fraction form
   9,254.10/13,875.00 = 5,096.06/x
3. Step 3: Cross multiply
   9,254.10x = 13,875.00 × 5,096.06
4. Step 4: Simplify right side
   9,254.10x = 70,707,874.09
5. Step 5: Solve for x
   x = 70,707,874.09/9,254.10
6. Step 6: Final answer
   x = 7,640.71