Finding the Fourth Proportional to 11,590.83, 16,008.48 and 7,807.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,590.83 : 16,008.48 = 7,807.42 : x
2. Step 2: Convert to fraction form
   11,590.83/16,008.48 = 7,807.42/x
3. Step 3: Cross multiply
   11,590.83x = 16,008.48 × 7,807.42
4. Step 4: Simplify right side
   11,590.83x = 124,984,926.92
5. Step 5: Solve for x
   x = 124,984,926.92/11,590.83
6. Step 6: Final answer
   x = 10,783.09