Finding the Fourth Proportional to 7,109.34, 9,808.47 and 4,314.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,109.34 : 9,808.47 = 4,314.30 : x
2. Step 2: Convert to fraction form
   7,109.34/9,808.47 = 4,314.30/x
3. Step 3: Cross multiply
   7,109.34x = 9,808.47 × 4,314.30
4. Step 4: Simplify right side
   7,109.34x = 42,316,682.12
5. Step 5: Solve for x
   x = 42,316,682.12/7,109.34
6. Step 6: Final answer
   x = 5,952.27