Finding the Fourth Proportional to 11,868.30, 17,802.81 and 4,077

Step by Step Solution

1. Step 1: Write the proportion equation
   11,868.30 : 17,802.81 = 4,077 : x
2. Step 2: Convert to fraction form
   11,868.30/17,802.81 = 4,077/x
3. Step 3: Cross multiply
   11,868.30x = 17,802.81 × 4,077
4. Step 4: Simplify right side
   11,868.30x = 72,582,056.37
5. Step 5: Solve for x
   x = 72,582,056.37/11,868.30
6. Step 6: Final answer
   x = 6,115.62