Finding the Fourth Proportional to 10,569.34, 14,586.52 and 5,854.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569.34 : 14,586.52 = 5,854.06 : x
2. Step 2: Convert to fraction form
   10,569.34/14,586.52 = 5,854.06/x
3. Step 3: Cross multiply
   10,569.34x = 14,586.52 × 5,854.06
4. Step 4: Simplify right side
   10,569.34x = 85,390,363.27
5. Step 5: Solve for x
   x = 85,390,363.27/10,569.34
6. Step 6: Final answer
   x = 8,079.06