Finding the Fourth Proportional to 10,152.61, 14,010.77 and 5,675.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.61 : 14,010.77 = 5,675.87 : x
2. Step 2: Convert to fraction form
   10,152.61/14,010.77 = 5,675.87/x
3. Step 3: Cross multiply
   10,152.61x = 14,010.77 × 5,675.87
4. Step 4: Simplify right side
   10,152.61x = 79,523,358.34
5. Step 5: Solve for x
   x = 79,523,358.34/10,152.61
6. Step 6: Final answer
   x = 7,832.80