Finding the Fourth Proportional to 10,253.77, 14,150.21 and 5,538.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.77 : 14,150.21 = 5,538.05 : x
2. Step 2: Convert to fraction form
   10,253.77/14,150.21 = 5,538.05/x
3. Step 3: Cross multiply
   10,253.77x = 14,150.21 × 5,538.05
4. Step 4: Simplify right side
   10,253.77x = 78,364,570.49
5. Step 5: Solve for x
   x = 78,364,570.49/10,253.77
6. Step 6: Final answer
   x = 7,642.51