Finding the Fourth Proportional to 9,404.96, 12,978.24 and 5,213.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404.96 : 12,978.24 = 5,213.12 : x
2. Step 2: Convert to fraction form
   9,404.96/12,978.24 = 5,213.12/x
3. Step 3: Cross multiply
   9,404.96x = 12,978.24 × 5,213.12
4. Step 4: Simplify right side
   9,404.96x = 67,657,122.51
5. Step 5: Solve for x
   x = 67,657,122.51/9,404.96
6. Step 6: Final answer
   x = 7,193.77