Finding the Fourth Proportional to 7,023.35, 10,538.31 and 3,074.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,023.35 : 10,538.31 = 3,074.10 : x
2. Step 2: Convert to fraction form
   7,023.35/10,538.31 = 3,074.10/x
3. Step 3: Cross multiply
   7,023.35x = 10,538.31 × 3,074.10
4. Step 4: Simplify right side
   7,023.35x = 32,395,818.77
5. Step 5: Solve for x
   x = 32,395,818.77/7,023.35
6. Step 6: Final answer
   x = 4,612.59