Finding the Fourth Proportional to 10,535.02, 14,538.06 and 5,819.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.02 : 14,538.06 = 5,819.20 : x
2. Step 2: Convert to fraction form
   10,535.02/14,538.06 = 5,819.20/x
3. Step 3: Cross multiply
   10,535.02x = 14,538.06 × 5,819.20
4. Step 4: Simplify right side
   10,535.02x = 84,599,878.75
5. Step 5: Solve for x
   x = 84,599,878.75/10,535.02
6. Step 6: Final answer
   x = 8,030.35