Finding the Fourth Proportional to 9,588.34, 14,384.64 and 3,745

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588.34 : 14,384.64 = 3,745 : x
2. Step 2: Convert to fraction form
   9,588.34/14,384.64 = 3,745/x
3. Step 3: Cross multiply
   9,588.34x = 14,384.64 × 3,745
4. Step 4: Simplify right side
   9,588.34x = 53,870,476.80
5. Step 5: Solve for x
   x = 53,870,476.80/9,588.34
6. Step 6: Final answer
   x = 5,618.33