Finding the Fourth Proportional to 10,374.38, 14,316.64 and 5,658.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.38 : 14,316.64 = 5,658.69 : x
2. Step 2: Convert to fraction form
   10,374.38/14,316.64 = 5,658.69/x
3. Step 3: Cross multiply
   10,374.38x = 14,316.64 × 5,658.69
4. Step 4: Simplify right side
   10,374.38x = 81,013,427.60
5. Step 5: Solve for x
   x = 81,013,427.60/10,374.38
6. Step 6: Final answer
   x = 7,808.99