Finding the Fourth Proportional to 4,638.77, 6,916.77 and 4,123.61

Step by Step Solution

1. Step 1: Write the proportion equation
   4,638.77 : 6,916.77 = 4,123.61 : x
2. Step 2: Convert to fraction form
   4,638.77/6,916.77 = 4,123.61/x
3. Step 3: Cross multiply
   4,638.77x = 6,916.77 × 4,123.61
4. Step 4: Simplify right side
   4,638.77x = 28,522,061.94
5. Step 5: Solve for x
   x = 28,522,061.94/4,638.77
6. Step 6: Final answer
   x = 6,148.63