Finding the Fourth Proportional to 6,404.22, 9,602.91 and 2,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.22 : 9,602.91 = 2,938.50 : x
2. Step 2: Convert to fraction form
   6,404.22/9,602.91 = 2,938.50/x
3. Step 3: Cross multiply
   6,404.22x = 9,602.91 × 2,938.50
4. Step 4: Simplify right side
   6,404.22x = 28,218,151.04
5. Step 5: Solve for x
   x = 28,218,151.04/6,404.22
6. Step 6: Final answer
   x = 4,406.18