Finding the Fourth Proportional to 9,942.12, 13,720.16 and 5,693.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.12 : 13,720.16 = 5,693.25 : x
2. Step 2: Convert to fraction form
   9,942.12/13,720.16 = 5,693.25/x
3. Step 3: Cross multiply
   9,942.12x = 13,720.16 × 5,693.25
4. Step 4: Simplify right side
   9,942.12x = 78,112,242.35
5. Step 5: Solve for x
   x = 78,112,242.35/9,942.12
6. Step 6: Final answer
   x = 7,856.70