Finding the Fourth Proportional to 10,129.50, 13,978.62 and 5,652.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.50 : 13,978.62 = 5,652.96 : x
2. Step 2: Convert to fraction form
   10,129.50/13,978.62 = 5,652.96/x
3. Step 3: Cross multiply
   10,129.50x = 13,978.62 × 5,652.96
4. Step 4: Simplify right side
   10,129.50x = 79,020,579.72
5. Step 5: Solve for x
   x = 79,020,579.72/10,129.50
6. Step 6: Final answer
   x = 7,801.03