Finding the Fourth Proportional to 7,090.38, 9,784.62 and 3,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,090.38 : 9,784.62 = 3,946.50 : x
2. Step 2: Convert to fraction form
   7,090.38/9,784.62 = 3,946.50/x
3. Step 3: Cross multiply
   7,090.38x = 9,784.62 × 3,946.50
4. Step 4: Simplify right side
   7,090.38x = 38,615,002.83
5. Step 5: Solve for x
   x = 38,615,002.83/7,090.38
6. Step 6: Final answer
   x = 5,446.11