Finding the Fourth Proportional to 10,677.83, 14,734.14 and 5,897.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677.83 : 14,734.14 = 5,897.49 : x
2. Step 2: Convert to fraction form
   10,677.83/14,734.14 = 5,897.49/x
3. Step 3: Cross multiply
   10,677.83x = 14,734.14 × 5,897.49
4. Step 4: Simplify right side
   10,677.83x = 86,894,374.23
5. Step 5: Solve for x
   x = 86,894,374.23/10,677.83
6. Step 6: Final answer
   x = 8,137.83