Finding the Fourth Proportional to 10,538.82, 14,549.40 and 7,186.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538.82 : 14,549.40 = 7,186.55 : x
2. Step 2: Convert to fraction form
   10,538.82/14,549.40 = 7,186.55/x
3. Step 3: Cross multiply
   10,538.82x = 14,549.40 × 7,186.55
4. Step 4: Simplify right side
   10,538.82x = 104,559,917.82
5. Step 5: Solve for x
   x = 104,559,917.82/10,538.82
6. Step 6: Final answer
   x = 9,921.41