Finding the Fourth Proportional to 5,100.50, 7,038.69 and 3,005.90

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.50 : 7,038.69 = 3,005.90 : x
2. Step 2: Convert to fraction form
   5,100.50/7,038.69 = 3,005.90/x
3. Step 3: Cross multiply
   5,100.50x = 7,038.69 × 3,005.90
4. Step 4: Simplify right side
   5,100.50x = 21,157,598.27
5. Step 5: Solve for x
   x = 21,157,598.27/5,100.50
6. Step 6: Final answer
   x = 4,148.14