Finding the Fourth Proportional to 10,100.81, 13,939.35 and 5,624.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100.81 : 13,939.35 = 5,624.86 : x
2. Step 2: Convert to fraction form
   10,100.81/13,939.35 = 5,624.86/x
3. Step 3: Cross multiply
   10,100.81x = 13,939.35 × 5,624.86
4. Step 4: Simplify right side
   10,100.81x = 78,406,892.24
5. Step 5: Solve for x
   x = 78,406,892.24/10,100.81
6. Step 6: Final answer
   x = 7,762.44