Finding the Fourth Proportional to 9,905.34, 13,669.29 and 5,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,905.34 : 13,669.29 = 5,713.50 : x
2. Step 2: Convert to fraction form
   9,905.34/13,669.29 = 5,713.50/x
3. Step 3: Cross multiply
   9,905.34x = 13,669.29 × 5,713.50
4. Step 4: Simplify right side
   9,905.34x = 78,099,488.42
5. Step 5: Solve for x
   x = 78,099,488.42/9,905.34
6. Step 6: Final answer
   x = 7,884.58