Finding the Fourth Proportional to 10,374.27, 14,316.51 and 5,658.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,374.27 : 14,316.51 = 5,658.45 : x
2. Step 2: Convert to fraction form
   10,374.27/14,316.51 = 5,658.45/x
3. Step 3: Cross multiply
   10,374.27x = 14,316.51 × 5,658.45
4. Step 4: Simplify right side
   10,374.27x = 81,009,256.01
5. Step 5: Solve for x
   x = 81,009,256.01/10,374.27
6. Step 6: Final answer
   x = 7,808.67