Finding the Fourth Proportional to 10,034.12, 13,846.74 and 5,496.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.12 : 13,846.74 = 5,496.77 : x
2. Step 2: Convert to fraction form
   10,034.12/13,846.74 = 5,496.77/x
3. Step 3: Cross multiply
   10,034.12x = 13,846.74 × 5,496.77
4. Step 4: Simplify right side
   10,034.12x = 76,112,345.03
5. Step 5: Solve for x
   x = 76,112,345.03/10,034.12
6. Step 6: Final answer
   x = 7,585.35