Finding the Fourth Proportional to 6,460.02, 9,693.72 and 5,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.02 : 9,693.72 = 5,377.50 : x
2. Step 2: Convert to fraction form
   6,460.02/9,693.72 = 5,377.50/x
3. Step 3: Cross multiply
   6,460.02x = 9,693.72 × 5,377.50
4. Step 4: Simplify right side
   6,460.02x = 52,127,979.30
5. Step 5: Solve for x
   x = 52,127,979.30/6,460.02
6. Step 6: Final answer
   x = 8,069.32