Finding the Fourth Proportional to 9,294.63, 13,946.03 and 3,758.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.63 : 13,946.03 = 3,758.78 : x
2. Step 2: Convert to fraction form
   9,294.63/13,946.03 = 3,758.78/x
3. Step 3: Cross multiply
   9,294.63x = 13,946.03 × 3,758.78
4. Step 4: Simplify right side
   9,294.63x = 52,419,998.31
5. Step 5: Solve for x
   x = 52,419,998.31/9,294.63
6. Step 6: Final answer
   x = 5,639.82