Finding the Fourth Proportional to 7,094.78, 10,626.32 and 5,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,094.78 : 10,626.32 = 5,142.50 : x
2. Step 2: Convert to fraction form
   7,094.78/10,626.32 = 5,142.50/x
3. Step 3: Cross multiply
   7,094.78x = 10,626.32 × 5,142.50
4. Step 4: Simplify right side
   7,094.78x = 54,645,850.60
5. Step 5: Solve for x
   x = 54,645,850.60/7,094.78
6. Step 6: Final answer
   x = 7,702.26