Finding the Fourth Proportional to 9,774.02, 14,660.91 and 2,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.02 : 14,660.91 = 2,378.50 : x
2. Step 2: Convert to fraction form
   9,774.02/14,660.91 = 2,378.50/x
3. Step 3: Cross multiply
   9,774.02x = 14,660.91 × 2,378.50
4. Step 4: Simplify right side
   9,774.02x = 34,870,937.78
5. Step 5: Solve for x
   x = 34,870,937.78/9,774.02
6. Step 6: Final answer
   x = 3,567.72