Finding the Fourth Proportional to 10,865.56, 14,994.54 and 5,897.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,865.56 : 14,994.54 = 5,897.56 : x
2. Step 2: Convert to fraction form
   10,865.56/14,994.54 = 5,897.56/x
3. Step 3: Cross multiply
   10,865.56x = 14,994.54 × 5,897.56
4. Step 4: Simplify right side
   10,865.56x = 88,431,199.32
5. Step 5: Solve for x
   x = 88,431,199.32/10,865.56
6. Step 6: Final answer
   x = 8,138.67