Finding the Fourth Proportional to 5,696.34, 7,820.81 and 5,350.74

Step by Step Solution

1. Step 1: Write the proportion equation
   5,696.34 : 7,820.81 = 5,350.74 : x
2. Step 2: Convert to fraction form
   5,696.34/7,820.81 = 5,350.74/x
3. Step 3: Cross multiply
   5,696.34x = 7,820.81 × 5,350.74
4. Step 4: Simplify right side
   5,696.34x = 41,847,094.15
5. Step 5: Solve for x
   x = 41,847,094.15/5,696.34
6. Step 6: Final answer
   x = 7,346.31