Finding the Fourth Proportional to 10,561.83, 14,575.46 and 5,846.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.83 : 14,575.46 = 5,846.55 : x
2. Step 2: Convert to fraction form
   10,561.83/14,575.46 = 5,846.55/x
3. Step 3: Cross multiply
   10,561.83x = 14,575.46 × 5,846.55
4. Step 4: Simplify right side
   10,561.83x = 85,216,126.43
5. Step 5: Solve for x
   x = 85,216,126.43/10,561.83
6. Step 6: Final answer
   x = 8,068.31