Finding the Fourth Proportional to 9,978.91, 14,977.59 and 5,052.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.91 : 14,977.59 = 5,052.01 : x
2. Step 2: Convert to fraction form
   9,978.91/14,977.59 = 5,052.01/x
3. Step 3: Cross multiply
   9,978.91x = 14,977.59 × 5,052.01
4. Step 4: Simplify right side
   9,978.91x = 75,666,934.46
5. Step 5: Solve for x
   x = 75,666,934.46/9,978.91
6. Step 6: Final answer
   x = 7,582.69