Finding the Fourth Proportional to 10,066.78, 13,891.56 and 5,590.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066.78 : 13,891.56 = 5,590.26 : x
2. Step 2: Convert to fraction form
   10,066.78/13,891.56 = 5,590.26/x
3. Step 3: Cross multiply
   10,066.78x = 13,891.56 × 5,590.26
4. Step 4: Simplify right side
   10,066.78x = 77,657,404.25
5. Step 5: Solve for x
   x = 77,657,404.25/10,066.78
6. Step 6: Final answer
   x = 7,714.23