Finding the Fourth Proportional to 7,538.31, 10,402.56 and 4,181.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.31 : 10,402.56 = 4,181.27 : x
2. Step 2: Convert to fraction form
   7,538.31/10,402.56 = 4,181.27/x
3. Step 3: Cross multiply
   7,538.31x = 10,402.56 × 4,181.27
4. Step 4: Simplify right side
   7,538.31x = 43,495,860.04
5. Step 5: Solve for x
   x = 43,495,860.04/7,538.31
6. Step 6: Final answer
   x = 5,769.97