Finding the Fourth Proportional to 9,934.34, 13,709.31 and 5,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,934.34 : 13,709.31 = 5,742.50 : x
2. Step 2: Convert to fraction form
   9,934.34/13,709.31 = 5,742.50/x
3. Step 3: Cross multiply
   9,934.34x = 13,709.31 × 5,742.50
4. Step 4: Simplify right side
   9,934.34x = 78,725,712.68
5. Step 5: Solve for x
   x = 78,725,712.68/9,934.34
6. Step 6: Final answer
   x = 7,924.60