Finding the Fourth Proportional to 9,914.83, 13,682.60 and 5,438.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.83 : 13,682.60 = 5,438.29 : x
2. Step 2: Convert to fraction form
   9,914.83/13,682.60 = 5,438.29/x
3. Step 3: Cross multiply
   9,914.83x = 13,682.60 × 5,438.29
4. Step 4: Simplify right side
   9,914.83x = 74,409,946.75
5. Step 5: Solve for x
   x = 74,409,946.75/9,914.83
6. Step 6: Final answer
   x = 7,504.91