Finding the Fourth Proportional to 9,914.06, 13,681.17 and 5,437.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.06 : 13,681.17 = 5,437.77 : x
2. Step 2: Convert to fraction form
   9,914.06/13,681.17 = 5,437.77/x
3. Step 3: Cross multiply
   9,914.06x = 13,681.17 × 5,437.77
4. Step 4: Simplify right side
   9,914.06x = 74,395,039.26
5. Step 5: Solve for x
   x = 74,395,039.26/9,914.06
6. Step 6: Final answer
   x = 7,503.99