Finding the Fourth Proportional to 9,727.56, 14,591.52 and 2,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.56 : 14,591.52 = 2,802.06 : x
2. Step 2: Convert to fraction form
   9,727.56/14,591.52 = 2,802.06/x
3. Step 3: Cross multiply
   9,727.56x = 14,591.52 × 2,802.06
4. Step 4: Simplify right side
   9,727.56x = 40,886,314.53
5. Step 5: Solve for x
   x = 40,886,314.53/9,727.56
6. Step 6: Final answer
   x = 4,203.14