Finding the Fourth Proportional to 10,446.02, 14,415.40 and 5,730.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,446.02 : 14,415.40 = 5,730.29 : x
2. Step 2: Convert to fraction form
   10,446.02/14,415.40 = 5,730.29/x
3. Step 3: Cross multiply
   10,446.02x = 14,415.40 × 5,730.29
4. Step 4: Simplify right side
   10,446.02x = 82,604,422.47
5. Step 5: Solve for x
   x = 82,604,422.47/10,446.02
6. Step 6: Final answer
   x = 7,907.74