Finding the Fourth Proportional to 9,974.63, 13,764.92 and 5,437.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.63 : 13,764.92 = 5,437.30 : x
2. Step 2: Convert to fraction form
   9,974.63/13,764.92 = 5,437.30/x
3. Step 3: Cross multiply
   9,974.63x = 13,764.92 × 5,437.30
4. Step 4: Simplify right side
   9,974.63x = 74,843,999.52
5. Step 5: Solve for x
   x = 74,843,999.52/9,974.63
6. Step 6: Final answer
   x = 7,503.44