Finding the Fourth Proportional to 10,152.66, 14,010.62 and 5,676.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.66 : 14,010.62 = 5,676.40 : x
2. Step 2: Convert to fraction form
   10,152.66/14,010.62 = 5,676.40/x
3. Step 3: Cross multiply
   10,152.66x = 14,010.62 × 5,676.40
4. Step 4: Simplify right side
   10,152.66x = 79,529,862.53
5. Step 5: Solve for x
   x = 79,529,862.53/10,152.66
6. Step 6: Final answer
   x = 7,833.40