Finding the Fourth Proportional to 7,942.87, 10,959.69 and 5,146.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,942.87 : 10,959.69 = 5,146.75 : x
2. Step 2: Convert to fraction form
   7,942.87/10,959.69 = 5,146.75/x
3. Step 3: Cross multiply
   7,942.87x = 10,959.69 × 5,146.75
4. Step 4: Simplify right side
   7,942.87x = 56,406,784.51
5. Step 5: Solve for x
   x = 56,406,784.51/7,942.87
6. Step 6: Final answer
   x = 7,101.56