Finding the Fourth Proportional to 10,066.86, 13,892.00 and 5,590.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066.86 : 13,892.00 = 5,590.49 : x
2. Step 2: Convert to fraction form
   10,066.86/13,892.00 = 5,590.49/x
3. Step 3: Cross multiply
   10,066.86x = 13,892.00 × 5,590.49
4. Step 4: Simplify right side
   10,066.86x = 77,662,989.67
5. Step 5: Solve for x
   x = 77,662,989.67/10,066.86
6. Step 6: Final answer
   x = 7,714.72