Finding the Fourth Proportional to 9,459.38, 13,056.62 and 5,683.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,459.38 : 13,056.62 = 5,683.74 : x
2. Step 2: Convert to fraction form
   9,459.38/13,056.62 = 5,683.74/x
3. Step 3: Cross multiply
   9,459.38x = 13,056.62 × 5,683.74
4. Step 4: Simplify right side
   9,459.38x = 74,210,404.94
5. Step 5: Solve for x
   x = 74,210,404.94/9,459.38
6. Step 6: Final answer
   x = 7,845.17