Finding the Fourth Proportional to 7,538.82, 10,404.10 and 4,181.95

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.82 : 10,404.10 = 4,181.95 : x
2. Step 2: Convert to fraction form
   7,538.82/10,404.10 = 4,181.95/x
3. Step 3: Cross multiply
   7,538.82x = 10,404.10 × 4,181.95
4. Step 4: Simplify right side
   7,538.82x = 43,509,426.00
5. Step 5: Solve for x
   x = 43,509,426.00/7,538.82
6. Step 6: Final answer
   x = 5,771.38