Finding the Fourth Proportional to 10,735.38, 16,084.85 and 5,191.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735.38 : 16,084.85 = 5,191.34 : x
2. Step 2: Convert to fraction form
   10,735.38/16,084.85 = 5,191.34/x
3. Step 3: Cross multiply
   10,735.38x = 16,084.85 × 5,191.34
4. Step 4: Simplify right side
   10,735.38x = 83,501,818.82
5. Step 5: Solve for x
   x = 83,501,818.82/10,735.38
6. Step 6: Final answer
   x = 7,778.19