Finding the Fourth Proportional to 10,066.58, 13,891.70 and 5,590.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066.58 : 13,891.70 = 5,590.24 : x
2. Step 2: Convert to fraction form
   10,066.58/13,891.70 = 5,590.24/x
3. Step 3: Cross multiply
   10,066.58x = 13,891.70 × 5,590.24
4. Step 4: Simplify right side
   10,066.58x = 77,657,937.01
5. Step 5: Solve for x
   x = 77,657,937.01/10,066.58
6. Step 6: Final answer
   x = 7,714.43