Finding the Fourth Proportional to 7,447.64, 10,278.12 and 4,090.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,447.64 : 10,278.12 = 4,090.42 : x
2. Step 2: Convert to fraction form
   7,447.64/10,278.12 = 4,090.42/x
3. Step 3: Cross multiply
   7,447.64x = 10,278.12 × 4,090.42
4. Step 4: Simplify right side
   7,447.64x = 42,041,827.61
5. Step 5: Solve for x
   x = 42,041,827.61/7,447.64
6. Step 6: Final answer
   x = 5,644.99