Finding the Fourth Proportional to 10,298.52, 14,211.79 and 5,822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.52 : 14,211.79 = 5,822.10 : x
2. Step 2: Convert to fraction form
   10,298.52/14,211.79 = 5,822.10/x
3. Step 3: Cross multiply
   10,298.52x = 14,211.79 × 5,822.10
4. Step 4: Simplify right side
   10,298.52x = 82,742,448.00
5. Step 5: Solve for x
   x = 82,742,448.00/10,298.52
6. Step 6: Final answer
   x = 8,034.40