Finding the Fourth Proportional to 9,770.32, 14,657.64 and 5,385.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.32 : 14,657.64 = 5,385.52 : x
2. Step 2: Convert to fraction form
   9,770.32/14,657.64 = 5,385.52/x
3. Step 3: Cross multiply
   9,770.32x = 14,657.64 × 5,385.52
4. Step 4: Simplify right side
   9,770.32x = 78,939,013.37
5. Step 5: Solve for x
   x = 78,939,013.37/9,770.32
6. Step 6: Final answer
   x = 8,079.47