Finding the Fourth Proportional to 10,534.84, 14,538.02 and 5,819.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.84 : 14,538.02 = 5,819.10 : x
2. Step 2: Convert to fraction form
   10,534.84/14,538.02 = 5,819.10/x
3. Step 3: Cross multiply
   10,534.84x = 14,538.02 × 5,819.10
4. Step 4: Simplify right side
   10,534.84x = 84,598,192.18
5. Step 5: Solve for x
   x = 84,598,192.18/10,534.84
6. Step 6: Final answer
   x = 8,030.33