Finding the Fourth Proportional to 10,254.57, 14,151.30 and 5,538.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.57 : 14,151.30 = 5,538.84 : x
2. Step 2: Convert to fraction form
   10,254.57/14,151.30 = 5,538.84/x
3. Step 3: Cross multiply
   10,254.57x = 14,151.30 × 5,538.84
4. Step 4: Simplify right side
   10,254.57x = 78,381,786.49
5. Step 5: Solve for x
   x = 78,381,786.49/10,254.57
6. Step 6: Final answer
   x = 7,643.60