Finding the Fourth Proportional to 5,141.16, 7,666.60 and 5,094.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.16 : 7,666.60 = 5,094.38 : x
2. Step 2: Convert to fraction form
   5,141.16/7,666.60 = 5,094.38/x
3. Step 3: Cross multiply
   5,141.16x = 7,666.60 × 5,094.38
4. Step 4: Simplify right side
   5,141.16x = 39,056,573.71
5. Step 5: Solve for x
   x = 39,056,573.71/5,141.16
6. Step 6: Final answer
   x = 7,596.84