Finding the Fourth Proportional to 5,101.38, 7,589.97 and 5,084.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,101.38 : 7,589.97 = 5,084.10 : x
2. Step 2: Convert to fraction form
   5,101.38/7,589.97 = 5,084.10/x
3. Step 3: Cross multiply
   5,101.38x = 7,589.97 × 5,084.10
4. Step 4: Simplify right side
   5,101.38x = 38,588,166.48
5. Step 5: Solve for x
   x = 38,588,166.48/5,101.38
6. Step 6: Final answer
   x = 7,564.26