Finding the Fourth Proportional to 6,131.68, 9,192.04 and 5,100.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,131.68 : 9,192.04 = 5,100.14 : x
2. Step 2: Convert to fraction form
   6,131.68/9,192.04 = 5,100.14/x
3. Step 3: Cross multiply
   6,131.68x = 9,192.04 × 5,100.14
4. Step 4: Simplify right side
   6,131.68x = 46,880,690.89
5. Step 5: Solve for x
   x = 46,880,690.89/6,131.68
6. Step 6: Final answer
   x = 7,645.65