Finding the Fourth Proportional to 10,010.86, 13,814.89 and 5,534.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010.86 : 13,814.89 = 5,534.60 : x
2. Step 2: Convert to fraction form
   10,010.86/13,814.89 = 5,534.60/x
3. Step 3: Cross multiply
   10,010.86x = 13,814.89 × 5,534.60
4. Step 4: Simplify right side
   10,010.86x = 76,459,807.28
5. Step 5: Solve for x
   x = 76,459,807.28/10,010.86
6. Step 6: Final answer
   x = 7,637.69