Finding the Fourth Proportional to 5,641.34, 7,783.17 and 3,654.44

Step by Step Solution

1. Step 1: Write the proportion equation
   5,641.34 : 7,783.17 = 3,654.44 : x
2. Step 2: Convert to fraction form
   5,641.34/7,783.17 = 3,654.44/x
3. Step 3: Cross multiply
   5,641.34x = 7,783.17 × 3,654.44
4. Step 4: Simplify right side
   5,641.34x = 28,443,127.77
5. Step 5: Solve for x
   x = 28,443,127.77/5,641.34
6. Step 6: Final answer
   x = 5,041.91