Finding the Fourth Proportional to 13,784.50, 19,022.61 and 7,497.01

Step by Step Solution

1. Step 1: Write the proportion equation
   13,784.50 : 19,022.61 = 7,497.01 : x
2. Step 2: Convert to fraction form
   13,784.50/19,022.61 = 7,497.01/x
3. Step 3: Cross multiply
   13,784.50x = 19,022.61 × 7,497.01
4. Step 4: Simplify right side
   13,784.50x = 142,612,697.40
5. Step 5: Solve for x
   x = 142,612,697.40/13,784.50
6. Step 6: Final answer
   x = 10,345.87