Finding the Fourth Proportional to 13,142.34, 19,691.64 and 5,735.70

Step by Step Solution

1. Step 1: Write the proportion equation
   13,142.34 : 19,691.64 = 5,735.70 : x
2. Step 2: Convert to fraction form
   13,142.34/19,691.64 = 5,735.70/x
3. Step 3: Cross multiply
   13,142.34x = 19,691.64 × 5,735.70
4. Step 4: Simplify right side
   13,142.34x = 112,945,339.55
5. Step 5: Solve for x
   x = 112,945,339.55/13,142.34
6. Step 6: Final answer
   x = 8,594.01