Finding the Fourth Proportional to 5,100.95, 7,644.24 and 4,056.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.95 : 7,644.24 = 4,056.32 : x
2. Step 2: Convert to fraction form
   5,100.95/7,644.24 = 4,056.32/x
3. Step 3: Cross multiply
   5,100.95x = 7,644.24 × 4,056.32
4. Step 4: Simplify right side
   5,100.95x = 31,007,502.71
5. Step 5: Solve for x
   x = 31,007,502.71/5,100.95
6. Step 6: Final answer
   x = 6,078.77