Finding the Fourth Proportional to 10,066.40, 13,891.68 and 5,590.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066.40 : 13,891.68 = 5,590.14 : x
2. Step 2: Convert to fraction form
   10,066.40/13,891.68 = 5,590.14/x
3. Step 3: Cross multiply
   10,066.40x = 13,891.68 × 5,590.14
4. Step 4: Simplify right side
   10,066.40x = 77,656,436.04
5. Step 5: Solve for x
   x = 77,656,436.04/10,066.40
6. Step 6: Final answer
   x = 7,714.42