Finding the Fourth Proportional to 20,782.88, 31,174.18 and 5,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,782.88 : 31,174.18 = 5,200.50 : x
2. Step 2: Convert to fraction form
   20,782.88/31,174.18 = 5,200.50/x
3. Step 3: Cross multiply
   20,782.88x = 31,174.18 × 5,200.50
4. Step 4: Simplify right side
   20,782.88x = 162,121,323.09
5. Step 5: Solve for x
   x = 162,121,323.09/20,782.88
6. Step 6: Final answer
   x = 7,800.71