Finding the Fourth Proportional to 10,407.48, 14,362.40 and 5,691.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.48 : 14,362.40 = 5,691.84 : x
2. Step 2: Convert to fraction form
   10,407.48/14,362.40 = 5,691.84/x
3. Step 3: Cross multiply
   10,407.48x = 14,362.40 × 5,691.84
4. Step 4: Simplify right side
   10,407.48x = 81,748,482.82
5. Step 5: Solve for x
   x = 81,748,482.82/10,407.48
6. Step 6: Final answer
   x = 7,854.78