Finding the Fourth Proportional to 7,538.30, 10,402.84 and 4,181.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.30 : 10,402.84 = 4,181.62 : x
2. Step 2: Convert to fraction form
   7,538.30/10,402.84 = 4,181.62/x
3. Step 3: Cross multiply
   7,538.30x = 10,402.84 × 4,181.62
4. Step 4: Simplify right side
   7,538.30x = 43,500,687.34
5. Step 5: Solve for x
   x = 43,500,687.34/7,538.30
6. Step 6: Final answer
   x = 5,770.63