Finding the Fourth Proportional to 9,637.84, 13,300.50 and 5,446

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.84 : 13,300.50 = 5,446 : x
2. Step 2: Convert to fraction form
   9,637.84/13,300.50 = 5,446/x
3. Step 3: Cross multiply
   9,637.84x = 13,300.50 × 5,446
4. Step 4: Simplify right side
   9,637.84x = 72,434,523
5. Step 5: Solve for x
   x = 72,434,523/9,637.84
6. Step 6: Final answer
   x = 7,515.64