Finding the Fourth Proportional to 5,138.78, 7,663.06 and 5,092.01

Step by Step Solution

1. Step 1: Write the proportion equation
   5,138.78 : 7,663.06 = 5,092.01 : x
2. Step 2: Convert to fraction form
   5,138.78/7,663.06 = 5,092.01/x
3. Step 3: Cross multiply
   5,138.78x = 7,663.06 × 5,092.01
4. Step 4: Simplify right side
   5,138.78x = 39,020,314.38
5. Step 5: Solve for x
   x = 39,020,314.38/5,138.78
6. Step 6: Final answer
   x = 7,593.30