Finding the Fourth Proportional to 9,142.08, 13,699.92 and 4,978.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.08 : 13,699.92 = 4,978.56 : x
2. Step 2: Convert to fraction form
   9,142.08/13,699.92 = 4,978.56/x
3. Step 3: Cross multiply
   9,142.08x = 13,699.92 × 4,978.56
4. Step 4: Simplify right side
   9,142.08x = 68,205,873.72
5. Step 5: Solve for x
   x = 68,205,873.72/9,142.08
6. Step 6: Final answer
   x = 7,460.65