Finding the Fourth Proportional to 10,618.83, 14,654.14 and 5,838.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,618.83 : 14,654.14 = 5,838.98 : x
2. Step 2: Convert to fraction form
   10,618.83/14,654.14 = 5,838.98/x
3. Step 3: Cross multiply
   10,618.83x = 14,654.14 × 5,838.98
4. Step 4: Simplify right side
   10,618.83x = 85,565,142.51
5. Step 5: Solve for x
   x = 85,565,142.51/10,618.83
6. Step 6: Final answer
   x = 8,057.87