Finding the Fourth Proportional to 7,538.68, 10,403.46 and 4,181.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.68 : 10,403.46 = 4,181.83 : x
2. Step 2: Convert to fraction form
   7,538.68/10,403.46 = 4,181.83/x
3. Step 3: Cross multiply
   7,538.68x = 10,403.46 × 4,181.83
4. Step 4: Simplify right side
   7,538.68x = 43,505,428.21
5. Step 5: Solve for x
   x = 43,505,428.21/7,538.68
6. Step 6: Final answer
   x = 5,770.96