Finding the Fourth Proportional to 10,566.38, 15,835.58 and 5,625.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566.38 : 15,835.58 = 5,625.38 : x
2. Step 2: Convert to fraction form
   10,566.38/15,835.58 = 5,625.38/x
3. Step 3: Cross multiply
   10,566.38x = 15,835.58 × 5,625.38
4. Step 4: Simplify right side
   10,566.38x = 89,081,155.02
5. Step 5: Solve for x
   x = 89,081,155.02/10,566.38
6. Step 6: Final answer
   x = 8,430.62