Finding the Fourth Proportional to 9,665.96, 14,493.35 and 5,157.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.96 : 14,493.35 = 5,157.45 : x
2. Step 2: Convert to fraction form
   9,665.96/14,493.35 = 5,157.45/x
3. Step 3: Cross multiply
   9,665.96x = 14,493.35 × 5,157.45
4. Step 4: Simplify right side
   9,665.96x = 74,748,702.17
5. Step 5: Solve for x
   x = 74,748,702.17/9,665.96
6. Step 6: Final answer
   x = 7,733.19