Finding the Fourth Proportional to 10,538.82, 15,818.90 and 5,277.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.82 : 15,818.90 = 5,277.60 : x
2. Step 2: Convert to fraction form
   10,538.82/15,818.90 = 5,277.60/x
3. Step 3: Cross multiply
   10,538.82x = 15,818.90 × 5,277.60
4. Step 4: Simplify right side
   10,538.82x = 83,485,800.25
5. Step 5: Solve for x
   x = 83,485,800.25/10,538.82
6. Step 6: Final answer
   x = 7,921.74