Finding the Fourth Proportional to 9,637.53, 13,299.88 and 5,658.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,637.53 : 13,299.88 = 5,658.71 : x
2. Step 2: Convert to fraction form
   9,637.53/13,299.88 = 5,658.71/x
3. Step 3: Cross multiply
   9,637.53x = 13,299.88 × 5,658.71
4. Step 4: Simplify right side
   9,637.53x = 75,260,097.46
5. Step 5: Solve for x
   x = 75,260,097.46/9,637.53
6. Step 6: Final answer
   x = 7,809.07