Finding the Fourth Proportional to 10,051.34, 13,869.57 and 5,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,051.34 : 13,869.57 = 5,574.50 : x
2. Step 2: Convert to fraction form
   10,051.34/13,869.57 = 5,574.50/x
3. Step 3: Cross multiply
   10,051.34x = 13,869.57 × 5,574.50
4. Step 4: Simplify right side
   10,051.34x = 77,315,848.62
5. Step 5: Solve for x
   x = 77,315,848.62/10,051.34
6. Step 6: Final answer
   x = 7,692.10