Finding the Fourth Proportional to 10,152.60, 14,008.88 and 5,676.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.60 : 14,008.88 = 5,676.39 : x
2. Step 2: Convert to fraction form
   10,152.60/14,008.88 = 5,676.39/x
3. Step 3: Cross multiply
   10,152.60x = 14,008.88 × 5,676.39
4. Step 4: Simplify right side
   10,152.60x = 79,519,866.34
5. Step 5: Solve for x
   x = 79,519,866.34/10,152.60
6. Step 6: Final answer
   x = 7,832.46