Finding the Fourth Proportional to 9,913.48, 13,678.61 and 5,665.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.48 : 13,678.61 = 5,665.93 : x
2. Step 2: Convert to fraction form
   9,913.48/13,678.61 = 5,665.93/x
3. Step 3: Cross multiply
   9,913.48x = 13,678.61 × 5,665.93
4. Step 4: Simplify right side
   9,913.48x = 77,501,950.03
5. Step 5: Solve for x
   x = 77,501,950.03/9,913.48
6. Step 6: Final answer
   x = 7,817.84