Finding the Fourth Proportional to 9,421.84, 13,002.12 and 5,114.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,421.84 : 13,002.12 = 5,114.96 : x
2. Step 2: Convert to fraction form
   9,421.84/13,002.12 = 5,114.96/x
3. Step 3: Cross multiply
   9,421.84x = 13,002.12 × 5,114.96
4. Step 4: Simplify right side
   9,421.84x = 66,505,323.72
5. Step 5: Solve for x
   x = 66,505,323.72/9,421.84
6. Step 6: Final answer
   x = 7,058.63