Finding the Fourth Proportional to 6,088.42, 9,116.43 and 5,116.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,088.42 : 9,116.43 = 5,116.42 : x
2. Step 2: Convert to fraction form
   6,088.42/9,116.43 = 5,116.42/x
3. Step 3: Cross multiply
   6,088.42x = 9,116.43 × 5,116.42
4. Step 4: Simplify right side
   6,088.42x = 46,643,484.78
5. Step 5: Solve for x
   x = 46,643,484.78/6,088.42
6. Step 6: Final answer
   x = 7,661.02