Finding the Fourth Proportional to 5,638.31, 7,783.58 and 3,753.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,638.31 : 7,783.58 = 3,753.03 : x
2. Step 2: Convert to fraction form
   5,638.31/7,783.58 = 3,753.03/x
3. Step 3: Cross multiply
   5,638.31x = 7,783.58 × 3,753.03
4. Step 4: Simplify right side
   5,638.31x = 29,212,009.25
5. Step 5: Solve for x
   x = 29,212,009.25/5,638.31
6. Step 6: Final answer
   x = 5,180.99