Finding the Fourth Proportional to 3,838.82, 5,758.59 and 1,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.82 : 5,758.59 = 1,530.50 : x
2. Step 2: Convert to fraction form
   3,838.82/5,758.59 = 1,530.50/x
3. Step 3: Cross multiply
   3,838.82x = 5,758.59 × 1,530.50
4. Step 4: Simplify right side
   3,838.82x = 8,813,522.00
5. Step 5: Solve for x
   x = 8,813,522.00/3,838.82
6. Step 6: Final answer
   x = 2,295.89