Finding the Fourth Proportional to 10,534.77, 14,538.06 and 5,819.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.77 : 14,538.06 = 5,819.05 : x
2. Step 2: Convert to fraction form
   10,534.77/14,538.06 = 5,819.05/x
3. Step 3: Cross multiply
   10,534.77x = 14,538.06 × 5,819.05
4. Step 4: Simplify right side
   10,534.77x = 84,597,668.95
5. Step 5: Solve for x
   x = 84,597,668.95/10,534.77
6. Step 6: Final answer
   x = 8,030.33