Finding the Fourth Proportional to 7,139.71, 9,857.27 and 4,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,139.71 : 9,857.27 = 4,588.50 : x
2. Step 2: Convert to fraction form
   7,139.71/9,857.27 = 4,588.50/x
3. Step 3: Cross multiply
   7,139.71x = 9,857.27 × 4,588.50
4. Step 4: Simplify right side
   7,139.71x = 45,230,083.40
5. Step 5: Solve for x
   x = 45,230,083.40/7,139.71
6. Step 6: Final answer
   x = 6,335.00