Finding the Fourth Proportional to 9,188.52, 13,787.34 and 3,641.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,188.52 : 13,787.34 = 3,641.74 : x
2. Step 2: Convert to fraction form
   9,188.52/13,787.34 = 3,641.74/x
3. Step 3: Cross multiply
   9,188.52x = 13,787.34 × 3,641.74
4. Step 4: Simplify right side
   9,188.52x = 50,209,885.30
5. Step 5: Solve for x
   x = 50,209,885.30/9,188.52
6. Step 6: Final answer
   x = 5,464.42