Finding the Fourth Proportional to 9,914.42, 13,682.32 and 5,438.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.42 : 13,682.32 = 5,438.34 : x
2. Step 2: Convert to fraction form
   9,914.42/13,682.32 = 5,438.34/x
3. Step 3: Cross multiply
   9,914.42x = 13,682.32 × 5,438.34
4. Step 4: Simplify right side
   9,914.42x = 74,409,094.55
5. Step 5: Solve for x
   x = 74,409,094.55/9,914.42
6. Step 6: Final answer
   x = 7,505.14