Finding the Fourth Proportional to 7,435.81, 10,264.71 and 5,206.45

Step by Step Solution

1. Step 1: Write the proportion equation
   7,435.81 : 10,264.71 = 5,206.45 : x
2. Step 2: Convert to fraction form
   7,435.81/10,264.71 = 5,206.45/x
3. Step 3: Cross multiply
   7,435.81x = 10,264.71 × 5,206.45
4. Step 4: Simplify right side
   7,435.81x = 53,442,699.38
5. Step 5: Solve for x
   x = 53,442,699.38/7,435.81
6. Step 6: Final answer
   x = 7,187.21