Finding the Fourth Proportional to 11,784.06, 16,260.12 and 7,538.89

Step by Step Solution

1. Step 1: Write the proportion equation
   11,784.06 : 16,260.12 = 7,538.89 : x
2. Step 2: Convert to fraction form
   11,784.06/16,260.12 = 7,538.89/x
3. Step 3: Cross multiply
   11,784.06x = 16,260.12 × 7,538.89
4. Step 4: Simplify right side
   11,784.06x = 122,583,156.10
5. Step 5: Solve for x
   x = 122,583,156.10/11,784.06
6. Step 6: Final answer
   x = 10,402.46