Finding the Fourth Proportional to 9,892.94, 14,837.96 and 3,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892.94 : 14,837.96 = 3,735.50 : x
2. Step 2: Convert to fraction form
   9,892.94/14,837.96 = 3,735.50/x
3. Step 3: Cross multiply
   9,892.94x = 14,837.96 × 3,735.50
4. Step 4: Simplify right side
   9,892.94x = 55,427,199.58
5. Step 5: Solve for x
   x = 55,427,199.58/9,892.94
6. Step 6: Final answer
   x = 5,602.70