Finding the Fourth Proportional to 42,806.34, 64,209.42 and 11,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,806.34 : 64,209.42 = 11,641.50 : x
2. Step 2: Convert to fraction form
   42,806.34/64,209.42 = 11,641.50/x
3. Step 3: Cross multiply
   42,806.34x = 64,209.42 × 11,641.50
4. Step 4: Simplify right side
   42,806.34x = 747,493,962.93
5. Step 5: Solve for x
   x = 747,493,962.93/42,806.34
6. Step 6: Final answer
   x = 17,462.23