Finding the Fourth Proportional to 10,374.18, 14,316.38 and 5,658.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.18 : 14,316.38 = 5,658.54 : x
2. Step 2: Convert to fraction form
   10,374.18/14,316.38 = 5,658.54/x
3. Step 3: Cross multiply
   10,374.18x = 14,316.38 × 5,658.54
4. Step 4: Simplify right side
   10,374.18x = 81,009,709.01
5. Step 5: Solve for x
   x = 81,009,709.01/10,374.18
6. Step 6: Final answer
   x = 7,808.79