Finding the Fourth Proportional to 10,034.65, 13,846.57 and 5,557.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,034.65 : 13,846.57 = 5,557.78 : x
2. Step 2: Convert to fraction form
   10,034.65/13,846.57 = 5,557.78/x
3. Step 3: Cross multiply
   10,034.65x = 13,846.57 × 5,557.78
4. Step 4: Simplify right side
   10,034.65x = 76,956,189.81
5. Step 5: Solve for x
   x = 76,956,189.81/10,034.65
6. Step 6: Final answer
   x = 7,669.05